{"id":1661,"date":"2022-11-02T15:15:52","date_gmt":"2022-11-02T15:15:52","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=1661"},"modified":"2022-11-02T15:15:52","modified_gmt":"2022-11-02T15:15:52","slug":"ncert-solutions-class-7-maths-chapter-2-fractions-and-decimals-ex-2-3","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-2-fractions-and-decimals-ex-2-3\/","title":{"rendered":"NCERT Solutions Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.3"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 7 Mathematics\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 2 (Fractions and Decimals)<\/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 7 Mathematics <strong>Chapter &#8211; 2 Fractions and Decimals <\/strong>Exercise 2.3 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Chapter : 2 Fractions and Decimals<\/strong><\/span><\/p>\n<ul>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-2-fractions-and-decimals-ex-2-1\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 7 Maths Exercise &#8211; 2.1<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-2-fractions-and-decimals-ex-2-2\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 7 Maths Exercise &#8211; 2.2<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-2-fractions-and-decimals-ex-2-4\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 7 Maths Exercise &#8211; 2.4<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-2-fractions-and-decimals-ex-2-5\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 7 Maths Exercise &#8211; 2.5<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-2-fractions-and-decimals-ex-2-6\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 7 Maths Exercise &#8211; 2.6<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-2-fractions-and-decimals-ex-2-7\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 7 Maths Exercise &#8211; 2.7<\/a><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 2.3<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>1. Find:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{4}}\" alt=\"\\mathbf{\\frac{1}{4}}\" align=\"absmiddle\" \/> of (a) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{4}}\" alt=\"\\mathbf{\\frac{1}{4}}\" align=\"absmiddle\" \/> (b) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{5}}\" alt=\"\\mathbf{\\frac{3}{5}}\" align=\"absmiddle\" \/> (c) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{4}{3}}\" alt=\"\\mathbf{\\frac{4}{3}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{7}}\" alt=\"\\mathbf{\\frac{1}{7}}\" align=\"absmiddle\" \/> of (a) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{9}}\" alt=\"\\mathbf{\\frac{2}{9}}\" align=\"absmiddle\" \/> (b) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{6}{5}}\" alt=\"\\mathbf{\\frac{6}{5}}\" align=\"absmiddle\" \/>\u00a0(c) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{10}}\" alt=\"\\mathbf{\\frac{3}{10}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) (a) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{4}}\" alt=\"\\mathbf{\\frac{1}{4}}\" align=\"absmiddle\" \/> of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{4}}\" alt=\"\\mathbf{\\frac{1}{4}}\" align=\"absmiddle\" \/> <\/strong><\/span><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{4}&amp;space;\\times&amp;space;\\frac{1}{4}\" alt=\"\\frac{1}{4} \\times \\frac{1}{4}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{16}\" alt=\"\\frac{1}{16}\" align=\"absmiddle\" \/><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(b) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{4}}\" alt=\"\\mathbf{\\frac{1}{4}}\" align=\"absmiddle\" \/> of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{5}}\" alt=\"\\mathbf{\\frac{3}{5}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{4}\" alt=\"\\frac{1}{4}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{5}\" alt=\"\\frac{3}{5}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{20}\" alt=\"\\frac{3}{20}\" align=\"absmiddle\" \/><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(c) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{4}}\" alt=\"\\mathbf{\\frac{1}{4}}\" align=\"absmiddle\" \/> of\u00a0 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{4}{3}}\" alt=\"\\mathbf{\\frac{4}{3}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{4}\" alt=\"\\frac{1}{4}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{3}\" alt=\"\\frac{4}{3}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{3}\" alt=\"\\frac{1}{3}\" align=\"absmiddle\" \/><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) (a) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{7}}\" alt=\"\\mathbf{\\frac{1}{7}}\" align=\"absmiddle\" \/> of\u00a0 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{9}}\" alt=\"\\mathbf{\\frac{2}{9}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{7}\" alt=\"\\frac{1}{7}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{9}\" alt=\"\\frac{2}{9}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{63}\" alt=\"\\frac{2}{63}\" align=\"absmiddle\" \/><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(b) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{7}}\" alt=\"\\mathbf{\\frac{1}{7}}\" align=\"absmiddle\" \/> of\u00a0 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{6}{5}}\" alt=\"\\mathbf{\\frac{6}{5}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{7}\" alt=\"\\frac{1}{7}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{6}{5}\" alt=\"\\frac{6}{5}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{6}{35}\" alt=\"\\frac{6}{35}\" align=\"absmiddle\" \/><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(c) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{7}}\" alt=\"\\mathbf{\\frac{1}{7}}\" align=\"absmiddle\" \/> of\u00a0 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{10}}\" alt=\"\\mathbf{\\frac{3}{10}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{7}\" alt=\"\\frac{1}{7}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{10}\" alt=\"\\frac{3}{10}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{70}\" alt=\"\\frac{3}{70}\" align=\"absmiddle\" \/><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>2. Multiply and reduce to lowest form (if possible):<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{3}&amp;space;\\times&amp;space;2\\frac{2}{3}}\" alt=\"\\mathbf{\\frac{2}{3} \\times 2\\frac{2}{3}}\" align=\"absmiddle\" \/>\u00a0<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{7}&amp;space;\\times&amp;space;\\frac{7}{9}}\" alt=\"\\mathbf{\\frac{2}{7} \\times \\frac{7}{9}}\" align=\"absmiddle\" \/>\u00a0<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{8}&amp;space;\\times&amp;space;\\frac{6}{4}}\" alt=\"\\mathbf{\\frac{3}{8} \\times \\frac{6}{4}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{9}{5}&amp;space;\\times&amp;space;\\frac{3}{5}}\" alt=\"\\mathbf{\\frac{9}{5} \\times \\frac{3}{5}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(v) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{3}&amp;space;\\times&amp;space;\\frac{15}{8}}\" alt=\"\\mathbf{\\frac{1}{3} \\times \\frac{15}{8}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(vi) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{11}{2}&amp;space;\\times&amp;space;\\frac{3}{10}}\" alt=\"\\mathbf{\\frac{11}{2} \\times \\frac{3}{10}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(vii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{4}{5}&amp;space;\\times&amp;space;\\frac{12}{7}}\" alt=\"\\mathbf{\\frac{4}{5} \\times \\frac{12}{7}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{3}&amp;space;\\times&amp;space;2\\frac{2}{3}}\" alt=\"\\mathbf{\\frac{2}{3} \\times 2\\frac{2}{3}}\" align=\"absmiddle\" \/>\u00a0<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{3}&amp;space;\\times&amp;space;\\frac{8}{3}\" alt=\"\\frac{2}{3} \\times \\frac{8}{3}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{16}{9}\" alt=\"\\frac{16}{9}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?1\\frac{7}{9}\" alt=\"1\\frac{7}{9}\" align=\"absmiddle\" \/><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{7}&amp;space;\\times&amp;space;\\frac{7}{9}}\" alt=\"\\mathbf{\\frac{2}{7} \\times \\frac{7}{9}}\" align=\"absmiddle\" \/>\u00a0<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{9}\" alt=\"\\frac{2}{9}\" align=\"absmiddle\" \/><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{8}&amp;space;\\times&amp;space;\\frac{6}{4}}\" alt=\"\\mathbf{\\frac{3}{8} \\times \\frac{6}{4}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{4}&amp;space;\\times&amp;space;\\frac{3}{4}\" alt=\"\\frac{3}{4} \\times \\frac{3}{4}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{9}{16}\" alt=\"\\frac{9}{16}\" align=\"absmiddle\" \/><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{9}{5}&amp;space;\\times&amp;space;\\frac{3}{5}}\" alt=\"\\mathbf{\\frac{9}{5} \\times \\frac{3}{5}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{27}{25}\" alt=\"\\frac{27}{25}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?1\\frac{2}{25}\" alt=\"1\\frac{2}{25}\" align=\"absmiddle\" \/><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(v) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{3}&amp;space;\\times&amp;space;\\frac{15}{8}}\" alt=\"\\mathbf{\\frac{1}{3} \\times \\frac{15}{8}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{8}\" alt=\"\\frac{5}{8}\" align=\"absmiddle\" \/><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(vi) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{11}{2}&amp;space;\\times&amp;space;\\frac{3}{10}}\" alt=\"\\mathbf{\\frac{11}{2} \\times \\frac{3}{10}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{33}{20}\" alt=\"\\frac{33}{20}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?1\\frac{13}{20}\" alt=\"1\\frac{13}{20}\" align=\"absmiddle\" \/><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(vii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{4}{5}&amp;space;\\times&amp;space;\\frac{12}{7}}\" alt=\"\\mathbf{\\frac{4}{5} \\times \\frac{12}{7}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{48}{35}\" alt=\"\\frac{48}{35}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?1\\frac{13}{35}\" alt=\"1\\frac{13}{35}\" align=\"absmiddle\" \/><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>3. Multiply the following fractions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{5}&amp;space;\\times&amp;space;5\\frac{1}{4}}\" alt=\"\\mathbf{\\frac{2}{5} \\times 5\\frac{1}{4}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{6\\frac{2}{5}&amp;space;\\times&amp;space;\\frac{7}{9}}\" alt=\"\\mathbf{6\\frac{2}{5} \\times \\frac{7}{9}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{2}&amp;space;\\times&amp;space;5\\frac{1}{3}}\" alt=\"\\mathbf{\\frac{3}{2} \\times 5\\frac{1}{3}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{6}&amp;space;\\times&amp;space;2\\frac{3}{7}}\" alt=\"\\mathbf{\\frac{5}{6} \\times 2\\frac{3}{7}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(v) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{3\\frac{2}{5}&amp;space;\\times&amp;space;\\frac{4}{7}}\" alt=\"\\mathbf{3\\frac{2}{5} \\times \\frac{4}{7}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(vi) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{2\\frac{3}{5}&amp;space;\\times&amp;space;3}\" alt=\"\\mathbf{2\\frac{3}{5} \\times 3}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(vii)<\/strong> <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{3\\frac{4}{7}&amp;space;\\times&amp;space;\\frac{3}{5}}\" alt=\"\\mathbf{3\\frac{4}{7} \\times \\frac{3}{5}}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{5}&amp;space;\\times&amp;space;5\\frac{1}{4}}\" alt=\"\\mathbf{\\frac{2}{5} \\times 5\\frac{1}{4}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{5}&amp;space;\\times&amp;space;\\frac{21}{4}\" alt=\"\\frac{2}{5} \\times \\frac{21}{4}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{21}{10}\" alt=\"\\frac{21}{10}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?2\\frac{1}{10}\" alt=\"2\\frac{1}{10}\" align=\"absmiddle\" \/><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{6\\frac{2}{5}&amp;space;\\times&amp;space;\\frac{7}{9}}\" alt=\"\\mathbf{6\\frac{2}{5} \\times \\frac{7}{9}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{32}{5}&amp;space;\\times&amp;space;\\frac{7}{9}\" alt=\"\\frac{32}{5} \\times \\frac{7}{9}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{224}{45}\" alt=\"\\frac{224}{45}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?4\\frac{44}{45}\" alt=\"4\\frac{44}{45}\" align=\"absmiddle\" \/><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{2}&amp;space;\\times&amp;space;5\\frac{1}{3}}\" alt=\"\\mathbf{\\frac{3}{2} \\times 5\\frac{1}{3}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{2}&amp;space;\\times&amp;space;\\frac{16}{3}\" alt=\"\\frac{3}{2} \\times \\frac{16}{3}\" align=\"absmiddle\" \/> = 8<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{6}&amp;space;\\times&amp;space;2\\frac{3}{7}}\" alt=\"\\mathbf{\\frac{5}{6} \\times 2\\frac{3}{7}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{6}&amp;space;\\times&amp;space;\\frac{17}{7}\" alt=\"\\frac{5}{6} \\times \\frac{17}{7}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{85}{42}\" alt=\"\\frac{85}{42}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?2\\frac{1}{42}\" alt=\"2\\frac{1}{42}\" align=\"absmiddle\" \/><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(v) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{3\\frac{2}{5}&amp;space;\\times&amp;space;\\frac{4}{7}}\" alt=\"\\mathbf{3\\frac{2}{5} \\times \\frac{4}{7}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{17}{5}&amp;space;\\times&amp;space;\\frac{4}{7}\" alt=\"\\frac{17}{5} \\times \\frac{4}{7}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{68}{35}\" alt=\"\\frac{68}{35}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?1\\frac{33}{35}\" alt=\"1\\frac{33}{35}\" align=\"absmiddle\" \/><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(vi) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{2\\frac{3}{5}&amp;space;\\times&amp;space;3}\" alt=\"\\mathbf{2\\frac{3}{5} \\times 3}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{13}{5}&amp;space;\\times&amp;space;3\" alt=\"\\frac{13}{5} \\times 3\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{39}{5}\" alt=\"\\frac{39}{5}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?7\\frac{4}{5}\" alt=\"7\\frac{4}{5}\" align=\"absmiddle\" \/><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(vii)<\/strong> <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{3\\frac{4}{7}&amp;space;\\times&amp;space;\\frac{3}{5}}\" alt=\"\\mathbf{3\\frac{4}{7} \\times \\frac{3}{5}}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{25}{7}&amp;space;\\times&amp;space;\\frac{3}{5}\" alt=\"\\frac{25}{7} \\times \\frac{3}{5}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{7}&amp;space;\\times&amp;space;\\frac{3}{1}\" alt=\"\\frac{5}{7} \\times \\frac{3}{1}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{15}{7}\" alt=\"\\frac{15}{7}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?2\\frac{1}{7}\" alt=\"2\\frac{1}{7}\" align=\"absmiddle\" \/><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>4. Which is greater?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{7}}\" alt=\"\\mathbf{\\frac{2}{7}}\" align=\"absmiddle\" \/> of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{4}}\" alt=\"\\mathbf{\\frac{3}{4}}\" align=\"absmiddle\" \/> or <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{5}}\" alt=\"\\mathbf{\\frac{3}{5}}\" align=\"absmiddle\" \/> of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{8}}\" alt=\"\\mathbf{\\frac{5}{8}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{2}}\" alt=\"\\mathbf{\\frac{1}{2}}\" align=\"absmiddle\" \/> of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{6}{7}}\" alt=\"\\mathbf{\\frac{6}{7}}\" align=\"absmiddle\" \/> or <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{3}}\" alt=\"\\mathbf{\\frac{2}{3}}\" align=\"absmiddle\" \/> of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{7}}\" alt=\"\\mathbf{\\frac{3}{7}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{7}}\" alt=\"\\mathbf{\\frac{2}{7}}\" align=\"absmiddle\" \/> of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{4}}\" alt=\"\\mathbf{\\frac{3}{4}}\" align=\"absmiddle\" \/> or <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{5}}\" alt=\"\\mathbf{\\frac{3}{5}}\" align=\"absmiddle\" \/> of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{8}}\" alt=\"\\mathbf{\\frac{5}{8}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{7}\" alt=\"\\frac{2}{7}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{4}\" alt=\"\\frac{3}{4}\" align=\"absmiddle\" \/> or\u00a0 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{5}\" alt=\"\\frac{3}{5}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{8}\" alt=\"\\frac{5}{8}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{7}\" alt=\"\\frac{2}{7}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{4}\" alt=\"\\frac{3}{4}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{7}\" alt=\"\\frac{1}{7}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{2}\" alt=\"\\frac{3}{2}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{14}\" alt=\"\\frac{3}{14}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\">= <span style=\"color: #000000;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{5}\" alt=\"\\frac{3}{5}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{8}\" alt=\"\\frac{5}{8}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{8}\" alt=\"\\frac{3}{8}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">LCM of 14 and 8 is 56<br \/>\n<img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{14}\" alt=\"\\frac{3}{14}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3\\times&amp;space;4}{14\\times&amp;space;4}\" alt=\"\\frac{3\\times 4}{14\\times 4}\" align=\"absmiddle\" \/>= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{12}{56}\" alt=\"\\frac{12}{56}\" align=\"absmiddle\" \/><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{8}\" alt=\"\\frac{3}{8}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3\\times&amp;space;7}{8\\times7}\" alt=\"\\frac{3\\times 7}{8\\times7}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{21}{56}\" alt=\"\\frac{21}{56}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Clearly,<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{12}{56}\" alt=\"\\frac{12}{56}\" align=\"absmiddle\" \/> &lt; <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{21}{56}\" alt=\"\\frac{21}{56}\" align=\"absmiddle\" \/> \u00a0<\/span><span style=\"color: #000000;\">Hence, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{7}\" alt=\"\\frac{2}{7}\" align=\"absmiddle\" \/> of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{4}\" alt=\"\\frac{3}{4}\" align=\"absmiddle\" \/><\/span><span style=\"color: #000000;\"> &lt; <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{5}\" alt=\"\\frac{3}{5}\" align=\"absmiddle\" \/> of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{8}\" alt=\"\\frac{5}{8}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{2}}\" alt=\"\\mathbf{\\frac{1}{2}}\" align=\"absmiddle\" \/> of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{6}{7}}\" alt=\"\\mathbf{\\frac{6}{7}}\" align=\"absmiddle\" \/> or <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{3}}\" alt=\"\\mathbf{\\frac{2}{3}}\" align=\"absmiddle\" \/> of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{7}}\" alt=\"\\mathbf{\\frac{3}{7}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}\" alt=\"\\frac{1}{2}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{6}{7}\" alt=\"\\frac{6}{7}\" align=\"absmiddle\" \/> or\u00a0 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{3}\" alt=\"\\frac{2}{3}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{7}\" alt=\"\\frac{3}{7}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}\" alt=\"\\frac{1}{2}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{6}{7}\" alt=\"\\frac{6}{7}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{7}\" alt=\"\\frac{3}{7}\" align=\"absmiddle\" \/>\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{3}\" alt=\"\\frac{2}{3}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{7}\" alt=\"\\frac{3}{7}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{7}\" alt=\"\\frac{2}{7}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Clearly,<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{7}\" alt=\"\\frac{3}{7}\" align=\"absmiddle\" \/>\u00a0 &gt; <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{7}\" alt=\"\\frac{2}{7}\" align=\"absmiddle\" \/> Hence, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}\" alt=\"\\frac{1}{2}\" align=\"absmiddle\" \/> of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{6}{7}\" alt=\"\\frac{6}{7}\" align=\"absmiddle\" \/> &gt; <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{3}\" alt=\"\\frac{2}{3}\" align=\"absmiddle\" \/> of\u00a0 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{7}\" alt=\"\\frac{3}{7}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>5. Saili plants 4 saplings, in a row, in her garden. The distance between two adjacent saplings is \u00be m. Find the distance between the first and the last sapling.<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>Number of saplings = 4<br \/>\n<\/span><span style=\"color: #000000;\">The distance between two adjacent saplings = \u00be m<br \/>\n<\/span><span style=\"color: #000000;\">\u2234 Distance between the first and the last sapling <\/span><span style=\"color: #000000;\">= \u00be + \u00be + \u00be + \u00be<br \/>\n<\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{9}{4}\" alt=\"\\frac{9}{4}\" align=\"absmiddle\" \/> m <\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?2\\frac{1}{4}\" alt=\"2\\frac{1}{4}\" align=\"absmiddle\" \/> m<br \/>\n<\/span><span style=\"color: #000000;\">Hence, the distance between the first and the last saplings is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?2\\frac{1}{4}\" alt=\"2\\frac{1}{4}\" align=\"absmiddle\" \/>\u00a0m.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>6. Lipika reads a book for 1 \u00be hours every day. She reads the entire book in 6 days. How many hours in all were required by her to read the book?<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong><\/span><span style=\"color: #000000;\">Lipika reads the book for = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?1\\frac{3}{4}\" alt=\"1\\frac{3}{4}\" align=\"absmiddle\" \/> hours every day = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{4}\" alt=\"\\frac{7}{4}\" align=\"absmiddle\" \/> hours.<br \/>\n<\/span><span style=\"color: #000000;\">Number of days she took to read the entire book = 6 days<br \/>\n<\/span><span style=\"color: #000000;\">\u2234 Total number of hours required by her to complete the book =\u00a0 6 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{4}\" alt=\"\\frac{7}{4}\" align=\"absmiddle\" \/> \u00a0<\/span><span style=\"color: #000000;\">=\u00a0 3 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{2}\" alt=\"\\frac{7}{2}\" align=\"absmiddle\" \/> \u00a0<\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{21}{2}\" alt=\"\\frac{21}{2}\" align=\"absmiddle\" \/> \u00a0<\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?10\\frac{1}{2}\" alt=\"10\\frac{1}{2}\" align=\"absmiddle\" \/> hours<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Hence, the total number of hours required by her to complete the book is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?10\\frac{1}{2}\" alt=\"10\\frac{1}{2}\" align=\"absmiddle\" \/> hours.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>7. A car runs 16 km using 1 litre of petrol. How much distance will it cover using <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{2\\frac{3}{4}}\" alt=\"\\mathbf{2\\frac{3}{4}}\" align=\"absmiddle\" \/> litres of petrol.<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong><\/span><span style=\"color: #000000;\">The total number of distance travelled by a car in 1 liter of petrol = 16 km<br \/>\n<\/span><span style=\"color: #000000;\">Total quantity of petrol = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?2\\frac{3}{4}\" alt=\"2\\frac{3}{4}\" align=\"absmiddle\" \/> liter = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{11}{4}\" alt=\"\\frac{11}{4}\" align=\"absmiddle\" \/> liters<br \/>\n<\/span><span style=\"color: #000000;\">Total number of distance travelled by car in <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{11}{4}\" alt=\"\\frac{11}{4}\" align=\"absmiddle\" \/> liters of petrol =\u00a0 16 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{11}{4}\" alt=\"\\frac{11}{4}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= 4 \u00d7 11\u00a0 \u00a0<\/span><span style=\"color: #000000;\">= 44 km<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">\u2234 Total number of distance travelled by car in <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{11}{4}\" alt=\"\\frac{11}{4}\" align=\"absmiddle\" \/> liters of petrol is 44 km.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>8. (a) (i) provide the number in the box [ ], such that <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{3}}\" alt=\"\\mathbf{\\frac{2}{3}}\" align=\"absmiddle\" \/> \u00d7 [ ] = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{10}{30}}\" alt=\"\\mathbf{\\frac{10}{30}}\" align=\"absmiddle\" \/>.<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(ii) The simplest form of the number obtained in [ ] is ______.<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(b) (i) provide the number in the box [ ], such that <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{5}}\" alt=\"\\mathbf{\\frac{3}{5}}\" align=\"absmiddle\" \/> \u00d7 [ ] = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{24}{75}}\" alt=\"\\mathbf{\\frac{24}{75}}\" align=\"absmiddle\" \/><br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(ii) The simplest form of the number obtained in [ ] is ______.\u00a0<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(a) (i) provide the number in the box [ ], such that <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{3}}\" alt=\"\\mathbf{\\frac{2}{3}}\" align=\"absmiddle\" \/> \u00d7 [ ] = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{10}{30}}\" alt=\"\\mathbf{\\frac{10}{30}}\" align=\"absmiddle\" \/>.<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{3}}\" alt=\"\\mathbf{\\frac{2}{3}}\" align=\"absmiddle\" \/> \u00d7 [ ] = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{10}{30}}\" alt=\"\\mathbf{\\frac{10}{30}}\" align=\"absmiddle\" \/> <\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">\u21d2 []<strong> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10}{30}\\div&amp;space;\\frac{2}{3}\" alt=\"\\frac{10}{30}\\div \\frac{2}{3}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u21d2 [] = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10}{30}&amp;space;\\times&amp;space;\\frac{3}{2}\" alt=\"\\frac{10}{30} \\times \\frac{3}{2}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{10}\" alt=\"\\frac{5}{10}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">\u2234 The required number in the box is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{10}\" alt=\"\\frac{5}{10}\" align=\"absmiddle\" \/>\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) The simplest form of the number obtained in [ ] is ____.<br \/>\n<\/strong><\/span><span style=\"color: #000000;\">The number in the box is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{10}\" alt=\"\\frac{5}{10}\" align=\"absmiddle\" \/><br \/>\n<\/span><span style=\"color: #000000;\">Then,<br \/>\n<\/span><span style=\"color: #000000;\">The simplest form of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{10}\" alt=\"\\frac{5}{10}\" align=\"absmiddle\" \/> is \u00bd<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(b) (i) provide the number in the box [ ], such that <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{5}}\" alt=\"\\mathbf{\\frac{3}{5}}\" align=\"absmiddle\" \/> \u00d7 [ ] = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{24}{75}}\" alt=\"\\mathbf{\\frac{24}{75}}\" align=\"absmiddle\" \/><br \/>\n<\/strong><strong><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{5}}\" alt=\"\\mathbf{\\frac{3}{5}}\" align=\"absmiddle\" \/> \u00d7 [ ] = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{24}{75}}\" alt=\"\\mathbf{\\frac{24}{75}}\" align=\"absmiddle\" \/> <\/strong>\u21d2 [ ]<strong> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{24}{75}&amp;space;\\div&amp;space;\\frac{3}{5}\" alt=\"\\frac{24}{75} \\div \\frac{3}{5}\" align=\"absmiddle\" \/><\/strong><strong><br \/>\n<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u21d2 [ ]<strong> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{24}{75}&amp;space;\\times&amp;space;\\frac{5}{3}\" alt=\"\\frac{24}{75} \\times \\frac{5}{3}\" align=\"absmiddle\" \/><\/strong><\/span> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8}{15}\" alt=\"\\frac{8}{15}\" align=\"absmiddle\" \/><\/p>\n<p><span style=\"color: #000000;\">\u2234 The required number in the box is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8}{15}\" alt=\"\\frac{8}{15}\" align=\"absmiddle\" \/>.\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) The simplest form of the number obtained in [ ] is ______.<br \/>\n<\/strong><\/span><span style=\"color: #000000;\">The number in the box is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8}{15}\" alt=\"\\frac{8}{15}\" align=\"absmiddle\" \/><br \/>\n<\/span><span style=\"color: #000000;\">Then, <\/span><span style=\"color: #000000;\">The simplest form of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8}{15}\" alt=\"\\frac{8}{15}\" align=\"absmiddle\" \/> is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8}{15}\" alt=\"\\frac{8}{15}\" align=\"absmiddle\" \/>.<\/span><\/p>\n<p style=\"text-align: justify;\">\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 7 Mathematics\u00a0 Chapter &#8211; 2 (Fractions and Decimals) The NCERT Solutions in English Language for Class 7 Mathematics Chapter &#8211; 2 Fractions and Decimals Exercise 2.3 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter : 2 Fractions and Decimals NCERT Solution Class 7 Maths [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[219],"tags":[284,285,283,5],"class_list":["post-1661","post","type-post","status-publish","format-standard","hentry","category-class-7-maths","tag-ncert-class-7-maths-chapter-2-fractions-and-decimals-in-english","tag-ncert-solutions-class-7-maths-chapter-2-in-english","tag-ncert-solutions-class-7-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.3 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"NCERT Solutions Class 7 Mathematics\u00a0Chapter - 2 (Fractions and Decimals)The NCERT Solutions in English Language for Class 7 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