{"id":314,"date":"2022-08-11T05:35:08","date_gmt":"2022-08-11T05:35:08","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=314"},"modified":"2024-02-21T06:12:42","modified_gmt":"2024-02-21T06:12:42","slug":"ncert-solutions-class-6-maths-chapter-7-fractions-ex-7-6","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-7-fractions-ex-7-6\/","title":{"rendered":"NCERT Solutions Class 6 Maths Chapter 7 Fractions Ex 7.6"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">NCERT Solutions Class 6 Maths<\/span><\/strong><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Chapter &#8211; 7 (Fractions)<\/span><\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 6 Mathematics <strong>Chapter &#8211; 7 Fractions <\/strong>Exercise 7.6 has been provided here to help the students in solving the questions from this exercise.<\/span><\/p>\n<h4 id=\"chapter-7\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span id=\"Chapter_7_Fractions\" style=\"color: #000000;\">Chapter 7: Fractions<\/span><\/strong><\/span><\/h4>\n<ul>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-7-fractions-ex-7-1\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 7.1<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-7-fractions-ex-7-2\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 7.2<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-7-fractions-ex-7-3\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 7.3<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-7-fractions-ex-7-4\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 7.4<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-7-fractions-ex-7-5\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 7.5<\/a><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Exercise &#8211; 7.6<\/span><\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>1. Solve.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-415 size-full\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q1.png\" alt=\"NCERT Class 6 Math Solution\" width=\"530\" height=\"236\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q1.png 530w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q1-300x134.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q1-480x214.png 480w\" sizes=\"auto, (max-width: 530px) 100vw, 530px\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution :<br \/>\n(a) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{3}&amp;space;+&amp;space;\\frac{1}{7}\" alt=\"\\frac{2}{3} + \\frac{1}{7}\" align=\"absmiddle\" \/><br \/>\n<\/strong>LCM of 3 and 7 = 21<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\therefore&amp;space;\\frac{2\\times&amp;space;7}{3\\times7}&amp;space;+\\frac{1\\times3}{7\\times3}&amp;space;=&amp;space;\\frac{14}{21}&amp;space;+&amp;space;\\frac{3}{21}\" alt=\"\\therefore \\frac{2\\times 7}{3\\times7} +\\frac{1\\times3}{7\\times3} = \\frac{14}{21} + \\frac{3}{21}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{17}{21}\" alt=\"\\frac{17}{21}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{10}&amp;space;+&amp;space;\\frac{7}{15}\" alt=\"\\frac{3}{10} + \\frac{7}{15}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 10 and 15 = 30<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\therefore&amp;space;\\frac{3\\times3}{10\\times3}&amp;space;+\\frac{7\\times2}{15\\times2}&amp;space;=&amp;space;\\frac{9}{30}&amp;space;+&amp;space;\\frac{14}{30}\" alt=\"\\therefore \\frac{3\\times3}{10\\times3} +\\frac{7\\times2}{15\\times2} = \\frac{9}{30} + \\frac{14}{30}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{23}{30}\" alt=\"\\frac{23}{30}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c)\u00a0<\/strong><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{9}&amp;space;+&amp;space;\\frac{2}{7}\" alt=\"\\frac{4}{9} + \\frac{2}{7}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 9 and 7 = 63<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\therefore&amp;space;\\frac{4\\times&amp;space;7}{9\\times&amp;space;7}&amp;space;+\\frac{2\\times&amp;space;9}{7\\times&amp;space;9}&amp;space;=&amp;space;\\frac{28}{63}&amp;space;+\\frac{18}{63}\" alt=\"\\therefore \\frac{4\\times 7}{9\\times 7} +\\frac{2\\times 9}{7\\times 9} = \\frac{28}{63} +\\frac{18}{63}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{46}{63}\" alt=\"\\frac{46}{63}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{7}&amp;space;+\\frac{1}{3}\" alt=\"\\frac{5}{7} +\\frac{1}{3}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 7 and 3 = 21<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\therefore&amp;space;\\frac{5\\times&amp;space;3}{7\\times&amp;space;3}+\\frac{1\\times&amp;space;7}{3\\times&amp;space;7}&amp;space;=&amp;space;\\frac{15}{21}&amp;space;+\\frac{7}{21}\" alt=\"\\therefore \\frac{5\\times 3}{7\\times 3}+\\frac{1\\times 7}{3\\times 7} = \\frac{15}{21} +\\frac{7}{21}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{22}{21}\" alt=\"\\frac{22}{21}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(e) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{5}&amp;space;+&amp;space;\\frac{1}{6}\" alt=\"\\frac{2}{5} + \\frac{1}{6}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 5 and 6 = 30<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\therefore&amp;space;\\frac{2\\times&amp;space;6}{5\\times&amp;space;6}&amp;space;+\\frac{1\\times&amp;space;5}{6\\times&amp;space;5}&amp;space;=&amp;space;\\frac{12}{30}&amp;space;+\\frac{5}{30}\" alt=\"\\therefore \\frac{2\\times 6}{5\\times 6} +\\frac{1\\times 5}{6\\times 5} = \\frac{12}{30} +\\frac{5}{30}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{17}{30}\" alt=\"\\frac{17}{30}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(f) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{5}&amp;space;+&amp;space;\\frac{2}{3}\" alt=\"\\frac{4}{5} + \\frac{2}{3}\" align=\"absmiddle\" \/>\u00a0<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 5 and 3 = 15<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\therefore&amp;space;\\frac{4\\times&amp;space;3}{5\\times&amp;space;3}&amp;space;+\\frac{2\\times&amp;space;5}{3\\times&amp;space;5}&amp;space;=&amp;space;\\frac{12}{15}&amp;space;+\\frac{10}{15}\" alt=\"\\therefore \\frac{4\\times 3}{5\\times 3} +\\frac{2\\times 5}{3\\times 5} = \\frac{12}{15} +\\frac{10}{15}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{22}{15}\" alt=\"\\frac{22}{15}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(g) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{4}&amp;space;-&amp;space;\\frac{1}{3}\" alt=\"\\frac{3}{4} - \\frac{1}{3}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 4 and 3 = 12<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\therefore&amp;space;\\frac{3\\times&amp;space;3}{4\\times&amp;space;3}&amp;space;-&amp;space;\\frac{1\\times&amp;space;4}{3\\times&amp;space;4}&amp;space;=&amp;space;\\frac{9}{12}&amp;space;-&amp;space;\\frac{4}{12}\" alt=\"\\therefore \\frac{3\\times 3}{4\\times 3} - \\frac{1\\times 4}{3\\times 4} = \\frac{9}{12} - \\frac{4}{12}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{9-4}{12}&amp;space;=&amp;space;\\frac{5}{12}\" alt=\"\\frac{9-4}{12} = \\frac{5}{12}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(h) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{6}-\\frac{1}{3}\" alt=\"\\frac{5}{6}-\\frac{1}{3}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 6 and 3 = 6<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\therefore&amp;space;\\frac{5\\times&amp;space;1}{6\\times1}&amp;space;-&amp;space;\\frac{1\\times2}{3\\times2}&amp;space;=&amp;space;\\frac{5}{6}&amp;space;-&amp;space;\\frac{2}{6}&amp;space;=&amp;space;\\frac{5-2}{6}\" alt=\"\\therefore \\frac{5\\times 1}{6\\times1} - \\frac{1\\times2}{3\\times2} = \\frac{5}{6} - \\frac{2}{6} = \\frac{5-2}{6}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{6}&amp;space;=&amp;space;\\frac{3&amp;space;\\div&amp;space;3}{6\\div3}&amp;space;=&amp;space;\\frac{1}{2}\" alt=\"\\frac{3}{6} = \\frac{3 \\div 3}{6\\div3} = \\frac{1}{2}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{3}&amp;space;+\\frac{3}{4}&amp;space;+\\frac{1}{2}\" alt=\"\\frac{2}{3} +\\frac{3}{4} +\\frac{1}{2}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 3, 4 and 2 = 12<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\therefore&amp;space;\\frac{2\\times4}{3\\times4}&amp;space;+\\frac{3\\times3}{4\\times3}&amp;space;+&amp;space;\\frac{1\\times6}{2\\times6}\" alt=\"\\therefore \\frac{2\\times4}{3\\times4} +\\frac{3\\times3}{4\\times3} + \\frac{1\\times6}{2\\times6}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8}{12}&amp;space;+&amp;space;\\frac{9}{12}+&amp;space;\\frac{6}{12}&amp;space;=&amp;space;\\frac{8+9+6}{12}&amp;space;=&amp;space;\\frac{23}{12}\" alt=\"\\frac{8}{12} + \\frac{9}{12}+ \\frac{6}{12} = \\frac{8+9+6}{12} = \\frac{23}{12}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(j) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}&amp;space;+&amp;space;\\frac{1}{3}&amp;space;+&amp;space;\\frac{1}{6}\" alt=\"\\frac{1}{2} + \\frac{1}{3} + \\frac{1}{6}\" align=\"absmiddle\" \/>\u00a0<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 2, 3 and 6 = 6<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\therefore&amp;space;\\frac{1\\times3}{2\\times3}&amp;space;+&amp;space;\\frac{1\\times2}{3\\times2}&amp;space;+&amp;space;\\frac{1\\times1}{6\\times1}&amp;space;=&amp;space;\\frac{3}{6}&amp;space;+\\frac{2}{6}&amp;space;+\\frac{1}{6}\" alt=\"\\therefore \\frac{1\\times3}{2\\times3} + \\frac{1\\times2}{3\\times2} + \\frac{1\\times1}{6\\times1} = \\frac{3}{6} +\\frac{2}{6} +\\frac{1}{6}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3&amp;space;+&amp;space;2+1}{6}&amp;space;=&amp;space;\\frac{6}{6}&amp;space;=&amp;space;1\" alt=\"\\frac{3 + 2+1}{6} = \\frac{6}{6} = 1\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(k) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?1\\frac{1}{3}&amp;space;+&amp;space;3\\frac{2}{3}&amp;space;=&amp;space;\\frac{3\\times1+1}{3}&amp;space;+&amp;space;\\frac{3\\times3+2}{3}&amp;space;=&amp;space;\\frac{4}{3}&amp;space;+&amp;space;\\frac{11}{3}\" alt=\"1\\frac{1}{3} + 3\\frac{2}{3} = \\frac{3\\times1+1}{3} + \\frac{3\\times3+2}{3} = \\frac{4}{3} + \\frac{11}{3}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\therefore&amp;space;\\frac{4&amp;space;+&amp;space;11}{3}&amp;space;=&amp;space;\\frac{15}{3}&amp;space;=&amp;space;\\frac{15&amp;space;\\div&amp;space;3}{&amp;space;3&amp;space;\\div&amp;space;3}&amp;space;=&amp;space;5\" alt=\"\\therefore \\frac{4 + 11}{3} = \\frac{15}{3} = \\frac{15 \\div 3}{ 3 \\div 3} = 5\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(l) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?4\\frac{2}{3}&amp;space;+&amp;space;3\\frac{1}{4}&amp;space;=&amp;space;\\frac{3\\times4+2}{3}&amp;space;+&amp;space;\\frac{4\\times3&amp;space;+1}{4}&amp;space;=&amp;space;\\frac{14}{3}&amp;space;+&amp;space;\\frac{13}{4}\" alt=\"4\\frac{2}{3} + 3\\frac{1}{4} = \\frac{3\\times4+2}{3} + \\frac{4\\times3 +1}{4} = \\frac{14}{3} + \\frac{13}{4}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 3 and 4 = 12<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{14\\times4}{3\\times4}&amp;space;+\\frac{13\\times3}{4\\times3}\" alt=\"\\frac{14\\times4}{3\\times4} +\\frac{13\\times3}{4\\times3}\" align=\"absmiddle\" \/><\/strong> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{56}{12}&amp;space;+&amp;space;\\frac{39}{12}&amp;space;=&amp;space;\\frac{56&amp;space;+39}{12}&amp;space;=&amp;space;\\frac{95}{12}\" alt=\"\\frac{56}{12} + \\frac{39}{12} = \\frac{56 +39}{12} = \\frac{95}{12}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(m) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{16}{5}&amp;space;-&amp;space;\\frac{7}{5}\" alt=\"\\frac{16}{5} - \\frac{7}{5}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{16-7}{5}&amp;space;=&amp;space;\\frac{9}{5}\" alt=\"\\frac{16-7}{5} = \\frac{9}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(n) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{3}&amp;space;-&amp;space;\\frac{1}{2}\" alt=\"\\frac{4}{3} - \\frac{1}{2}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 3 and 2 = 6<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\therefore&amp;space;\\frac{4\\times2}{3\\times2}&amp;space;-\\frac{1\\times3}{2\\times3}&amp;space;=&amp;space;\\frac{8}{6}&amp;space;-&amp;space;\\frac{3}{6}\" alt=\"\\therefore \\frac{4\\times2}{3\\times2} -\\frac{1\\times3}{2\\times3} = \\frac{8}{6} - \\frac{3}{6}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8-3}{6}&amp;space;=&amp;space;\\frac{5}{6}\" alt=\"\\frac{8-3}{6} = \\frac{5}{6}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>2. Sarita bought <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{5}}\" alt=\"\\mathbf{\\frac{2}{5}}\" align=\"absmiddle\" \/> metre of ribbon and Lalita <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{4}}\" alt=\"\\mathbf{\\frac{3}{4}}\" align=\"absmiddle\" \/> metre of ribbon. What is the total length of the ribbon they bought?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Length of ribbon bought by Sarita = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{5}\" alt=\"\\frac{2}{5}\" align=\"absmiddle\" \/> metre<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Length of ribbon bought by Lalita = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{4}\" alt=\"\\frac{3}{4}\" align=\"absmiddle\" \/> metre<br \/>\n\u2234 Length of ribbon bought by Sarita and Lalita = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{5}&amp;space;+&amp;space;\\frac{3}{4}\" alt=\"\\frac{2}{5} + \\frac{3}{4}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 5 and 4 = 20<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\therefore&amp;space;\\frac{2\\times&amp;space;4}{5\\times4}&amp;space;+&amp;space;\\frac{3\\times5}{4\\times5}&amp;space;=&amp;space;\\frac{8}{20}&amp;space;+&amp;space;\\frac{15}{20}&amp;space;=&amp;space;\\frac{23}{20}\" alt=\"\\therefore \\frac{2\\times 4}{5\\times4} + \\frac{3\\times5}{4\\times5} = \\frac{8}{20} + \\frac{15}{20} = \\frac{23}{20}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Hence, the required length = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{23}{20}\" alt=\"\\frac{23}{20}\" align=\"absmiddle\" \/> metre.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>3. Naina was given <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{1\\frac{1}{2}}\" alt=\"\\mathbf{1\\frac{1}{2}}\" align=\"absmiddle\" \/> piece of cake and Najma was given <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{1\\frac{1}{3}}\" alt=\"\\mathbf{1\\frac{1}{3}}\" align=\"absmiddle\" \/> piece of cake. Find the total amount of cake was given to both of them.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution :<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Piece of cake given to Naina = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?1\\frac{1}{2}\" alt=\"1\\frac{1}{2}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Piece of cake given to Najma = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?1\\frac{1}{3}\" alt=\"1\\frac{1}{3}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Piece of cake given to Naina and Najma = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?1\\frac{1}{2}\" alt=\"1\\frac{1}{2}\" align=\"absmiddle\" \/> + <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?1\\frac{1}{3}\" alt=\"1\\frac{1}{3}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2\\times&amp;space;1&amp;space;+&amp;space;1}{2}&amp;space;+&amp;space;\\frac{3\\times&amp;space;1+1}{3}&amp;space;=&amp;space;\\frac{3}{2}&amp;space;+&amp;space;\\frac{4}{3}\" alt=\"\\frac{2\\times 1 + 1}{2} + \\frac{3\\times 1+1}{3} = \\frac{3}{2} + \\frac{4}{3}\" align=\"absmiddle\" \/>\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 2 and 3 = 6<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\therefore&amp;space;\\frac{3\\times&amp;space;3}{2\\times3}&amp;space;+&amp;space;\\frac{4\\times2}{3\\times2}&amp;space;=&amp;space;\\frac{9}{6}&amp;space;+&amp;space;\\frac{8}{6}&amp;space;=&amp;space;\\frac{17}{6}\" alt=\"\\therefore \\frac{3\\times 3}{2\\times3} + \\frac{4\\times2}{3\\times2} = \\frac{9}{6} + \\frac{8}{6} = \\frac{17}{6}\" align=\"absmiddle\" \/> <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?=&amp;space;2\\frac{5}{6}\" alt=\"= 2\\frac{5}{6}\" align=\"absmiddle\" \/>\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Hence the total amount of piece given to both <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?=&amp;space;2\\frac{5}{6}\" alt=\"= 2\\frac{5}{6}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>4. Fill in the boxes:<br \/>\n<\/strong><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-419 size-full\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q4.png\" alt=\"NCERT Class 6 Math Solution\" width=\"379\" height=\"62\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q4.png 379w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q4-300x49.png 300w\" sizes=\"auto, (max-width: 379px) 100vw, 379px\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution :<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a)\u00a0<\/strong><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\square&amp;space;-&amp;space;\\frac{5}{8}&amp;space;=&amp;space;\\frac{1}{4}\" alt=\"\\square - \\frac{5}{8} = \\frac{1}{4}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Here, missing number is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{4}\" alt=\"\\frac{1}{4}\" align=\"absmiddle\" \/> more than <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{8}\" alt=\"\\frac{5}{8}\" align=\"absmiddle\" \/>.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-420\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q4AAns.png\" alt=\"NCERT Class 6 Math Solution\" width=\"225\" height=\"223\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q4AAns.png 225w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q4AAns-150x150.png 150w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\square&amp;space;-&amp;space;\\frac{1}{5}&amp;space;=&amp;space;\\frac{1}{2}\" alt=\"\\square - \\frac{1}{5} = \\frac{1}{2}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Here, missing number is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}\" alt=\"\\frac{1}{2}\" align=\"absmiddle\" \/> more than <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{5}\" alt=\"\\frac{1}{5}\" align=\"absmiddle\" \/>.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-421\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q4BAns.png\" alt=\"NCERT Class 6 Math Solution\" width=\"239\" height=\"234\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c)\u00a0<\/strong><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}&amp;space;-&amp;space;\\square&amp;space;=&amp;space;\\frac{1}{6}\" alt=\"\\frac{1}{2} - \\square = \\frac{1}{6}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Here, missing number is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{6}\" alt=\"\\frac{1}{6}\" align=\"absmiddle\" \/> less than <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}\" alt=\"\\frac{1}{2}\" align=\"absmiddle\" \/>.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-422\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q4CAns.png\" alt=\"NCERT Class 6 Math Solution\" width=\"213\" height=\"264\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>5. Complete the addition-subtraction box.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-423 \" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q5.png\" alt=\"NCERT Class 6 Math Solution\" width=\"442\" height=\"165\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q5.png 501w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q5-300x112.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q5-480x179.png 480w\" sizes=\"auto, (max-width: 442px) 100vw, 442px\" \/><br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution :<br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-424\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q5AAns-300x186.png\" alt=\"NCERT Class 6 Math Solution\" width=\"300\" height=\"186\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q5AAns-300x186.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q5AAns.png 333w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Thus the box may be completed as follows:<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-425\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q5A1Ans.png\" alt=\"NCERT Class 6 Math Solution\" width=\"200\" height=\"187\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-426\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q5BAns-300x218.png\" alt=\"NCERT Class 6 Math Solution\" width=\"300\" height=\"218\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q5BAns-300x218.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q5BAns.png 333w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Thus the box may be completed as follows:<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-427\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q5B1Ans.png\" alt=\"NCERT Class 6 Math Solution\" width=\"200\" height=\"187\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>6. A piece of wire <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{7}{8}}\" alt=\"\\mathbf{\\frac{7}{8}}\" align=\"absmiddle\" \/> metre long broke into two pieces. One piece was <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{4}}\" alt=\"\\mathbf{\\frac{1}{4}}\" align=\"absmiddle\" \/>\u00a0metre long. How long is the other piece?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution :<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Total length of the wire = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{8}\" alt=\"\\frac{7}{8}\" align=\"absmiddle\" \/>\u00a0metre<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Length of one piece of wire = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{4}\" alt=\"\\frac{1}{4}\" align=\"absmiddle\" \/> metre<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 Length of the other piece = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{8}\" alt=\"\\frac{7}{8}\" align=\"absmiddle\" \/> \u2013 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{4}\" alt=\"\\frac{1}{4}\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 8 and 4 = 8<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\therefore&amp;space;\\frac{7}{8}&amp;space;-&amp;space;\\frac{1\\times&amp;space;2}{4\\times&amp;space;2}&amp;space;=&amp;space;\\frac{7}{8}&amp;space;-&amp;space;\\frac{2}{8}&amp;space;=&amp;space;\\frac{7-2}{8}&amp;space;=&amp;space;\\frac{5}{8}\" alt=\"\\therefore \\frac{7}{8} - \\frac{1\\times 2}{4\\times 2} = \\frac{7}{8} - \\frac{2}{8} = \\frac{7-2}{8} = \\frac{5}{8}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Hence, the length of the other piece = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{8}\" alt=\"\\frac{5}{8}\" align=\"absmiddle\" \/> metre.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>7. Nandini\u2019s house is <span id=\"MathJax-Element-138-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-695\" class=\"math\"><span id=\"MathJax-Span-696\" class=\"mrow\"><span id=\"MathJax-Span-697\" class=\"mfrac\"><span id=\"MathJax-Span-698\" class=\"mn\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{9}{10}}\" alt=\"\\mathbf{\\frac{9}{10}}\" align=\"absmiddle\" \/><\/span><\/span><\/span><\/span><\/span> km from her school. She walked some distance and then took a bus for <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{2}}\" alt=\"\\mathbf{\\frac{1}{2}}\" align=\"absmiddle\" \/> km to reach the school. How far did she walk?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Total distance from house to school = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{9}{10}\" alt=\"\\frac{9}{10}\" align=\"absmiddle\" \/> km.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Distance travelled by Nandini by bus = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}\" alt=\"\\frac{1}{2}\" align=\"absmiddle\" \/>\u00a0km<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u2234 Distance travelled by her on foot = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{9}{10}\" alt=\"\\frac{9}{10}\" align=\"absmiddle\" \/> &#8211; <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}\" alt=\"\\frac{1}{2}\" align=\"absmiddle\" \/> \u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-429 size-full\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q7.png\" alt=\"NCERT Class 6 Math Solution\" width=\"330\" height=\"149\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q7.png 330w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q7-300x135.png 300w\" sizes=\"auto, (max-width: 330px) 100vw, 330px\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Hence, the distance travelled by her on foot = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{5}\" alt=\"\\frac{2}{5}\" align=\"absmiddle\" \/><span id=\"MathJax-Element-142-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-715\" class=\"math\"><span id=\"MathJax-Span-716\" class=\"mrow\"><span id=\"MathJax-Span-717\" class=\"mfrac\"><span id=\"MathJax-Span-719\" class=\"mn\">\u00a0<\/span><\/span><\/span><\/span><\/span>km.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>8. Asha and Samuel have bookshelves of the same size partly filled with books. Asha\u2019s shelf is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{6}}\" alt=\"\\mathbf{\\frac{5}{6}}\" align=\"absmiddle\" \/>th full and Samuel\u2019s shelf is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{5}}\" alt=\"\\mathbf{\\frac{2}{5}}\" align=\"absmiddle\" \/>th full. Whose bookshelf is more full? By what fraction?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Asha\u2019s shelf is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{6}\" alt=\"\\frac{5}{6}\" align=\"absmiddle\" \/>th full<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">and Samuel\u2019s shelf is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{5}\" alt=\"\\frac{2}{5}\" align=\"absmiddle\" \/>th full<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Comparing <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{6}\" alt=\"\\frac{5}{6}\" align=\"absmiddle\" \/>\u00a0and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{5}\" alt=\"\\frac{2}{5}\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 6 and 5 = 30<\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-430\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q8Ans01.png\" alt=\"\" width=\"282\" height=\"83\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Hence, Asha\u2019s shelf is full more than Samuel\u2019s shelf.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-431\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q8Ans02.png\" alt=\"\" width=\"281\" height=\"41\" \/><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Hence, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{13}{30}\" alt=\"\\frac{13}{30}\" align=\"absmiddle\" \/>th fraction is more full of Asha\u2019s shelf.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>9. Jaidev takes <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{2\\frac{1}{5}}\" alt=\"\\mathbf{2\\frac{1}{5}}\" align=\"absmiddle\" \/> minutes to walk across the school ground. Rahul takes <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{7}{4}}\" alt=\"\\mathbf{\\frac{7}{4}}\" align=\"absmiddle\" \/> minutes to do the same. Who takes less time and by what fraction?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solution :<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">Time taken by Jaidev to walk across the school ground = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?2\\frac{1}{5}\" alt=\"2\\frac{1}{5}\" align=\"absmiddle\" \/> minutes\u00a0 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{11}{5}\" alt=\"\\frac{11}{5}\" align=\"absmiddle\" \/> minutes\u00a0 <\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">Time taken by Rahul to walk across the school ground = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{4}\" alt=\"\\frac{7}{4}\" align=\"absmiddle\" \/> minutes<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">Comparing <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{11}{5}\" alt=\"\\frac{11}{5}\" align=\"absmiddle\" \/> minutes and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{4}\" alt=\"\\frac{7}{4}\" align=\"absmiddle\" \/> minutes.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-432\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q9Ans01.png\" alt=\"\" width=\"287\" height=\"96\" \/><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">So, the time take to cover the same distance by Rahul is less than that of Jaidev.<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-433\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.6Q9Ans02.png\" alt=\"\" width=\"291\" height=\"45\" \/><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">Hence, Rahul takes <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{9}{20}\" alt=\"\\frac{9}{20}\" align=\"absmiddle\" \/>\u00a0minutes less to across the school ground.<\/span><\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 100%; background-color: #f2e079; text-align: center;\"><span style=\"color: #000000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong>NCERT Class 6<sup>th\u00a0<\/sup>Solution\u00a0<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-english\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 English\u201d (Edit)\">NCERT Solutions Class 6 English<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-hindi\/\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 6 Hindi<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 6 Maths<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-sanskrit\/\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\">NCERT Solutions Class 6 Sanskrit<\/span><\/strong><\/span><\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 6 Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-social-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 6 Social Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 6 Maths Chapter &#8211; 7 (Fractions) The NCERT Solutions in English Language for Class 6 Mathematics Chapter &#8211; 7 Fractions Exercise 7.6 has been provided here to help the students in solving the questions from this exercise. Chapter 7: Fractions NCERT Solution Class 6 Maths Exercise &#8211; 7.1 NCERT Solution Class 6 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[16,17,4,5],"class_list":["post-314","post","type-post","status-publish","format-standard","hentry","category-class-6-maths","tag-chapter-7-fractions-in-english","tag-ncert-solutions-class-6-maths-chapter-7-in-english","tag-ncert-solutions-class-6-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 6 Maths Chapter 7 Fractions Ex 7.6 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 7 Fractions Exercise 7.6 has been provided here to help the students in solving the questions from this exercise.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-7-fractions-ex-7-6\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions Class 6 Maths Chapter 7 Fractions Ex 7.6\" \/>\n<meta property=\"og:description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 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