{"id":2034,"date":"2022-11-08T07:35:17","date_gmt":"2022-11-08T07:35:17","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=2034"},"modified":"2022-11-08T07:40:15","modified_gmt":"2022-11-08T07:40:15","slug":"ncert-solutions-class-7-maths-chapter-9-rational-numbers-ex-9-2","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-9-rational-numbers-ex-9-2\/","title":{"rendered":"NCERT Solutions Class 7 Maths Chapter 9 Rational Numbers Ex 9.2"},"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; 9 (Rational Numbers)<\/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; 9 Rational Numbers <\/strong>Exercise 9.2 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 : 9 Rational Numbers<\/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-9-rational-numbers-ex-9-1\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 9.1<\/span><\/a><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 9.2\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>1. Find the sum:<\/strong><\/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?\\mathbf{\\frac{5}{4}}\" alt=\"\\mathbf{\\frac{5}{4}}\" align=\"absmiddle\" \/>+ <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\left&amp;space;(&amp;space;-\\frac{11}{4}&amp;space;\\right&amp;space;)}\" alt=\"\\mathbf{\\left ( -\\frac{11}{4} \\right )}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0(ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{3}}&amp;space;+&amp;space;\\mathbf{\\frac{3}{5}}\" alt=\"\\mathbf{\\frac{5}{3}} + \\mathbf{\\frac{3}{5}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (iii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-9}{10}}&amp;space;+&amp;space;\\mathbf{\\frac{22}{15}}\" alt=\"\\mathbf{\\frac{-9}{10}} + \\mathbf{\\frac{22}{15}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iv)<\/strong> <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-3}{-11}}+\\mathbf{\\frac{5}{9}}\" alt=\"\\mathbf{\\frac{-3}{-11}}+\\mathbf{\\frac{5}{9}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <strong>(v)<\/strong> <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-8}{19}}+\\mathbf{\\frac{(-2)}{57}}\" alt=\"\\mathbf{\\frac{-8}{19}}+\\mathbf{\\frac{(-2)}{57}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <strong>(vi) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-2}{3}&amp;space;+&amp;space;0}\" alt=\"\\mathbf{\\frac{-2}{3} + 0}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(vii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{-2\\frac{1}{3}&amp;space;+&amp;space;4\\frac{3}{5}}\" alt=\"\\mathbf{-2\\frac{1}{3} + 4\\frac{3}{5}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{4}}\" alt=\"\\mathbf{\\frac{5}{4}}\" align=\"absmiddle\" \/>+ <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\left&amp;space;(&amp;space;-\\frac{11}{4}&amp;space;\\right&amp;space;)}\" alt=\"\\mathbf{\\left ( -\\frac{11}{4} \\right )}\" align=\"absmiddle\" \/>\u00a0<\/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{5}{4}\" alt=\"\\frac{5}{4}\" align=\"absmiddle\" \/> \u2013 <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; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5-11}{4}\" alt=\"\\frac{5-11}{4}\" align=\"absmiddle\" \/> [\u2235 denominator is same in both the rational numbers]<\/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{-6}{4}\" alt=\"\\frac{-6}{4}\" 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}{2}\" alt=\"\\frac{-3}{2}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0&#8212;&#8212;&#8212;&#8211;[\u2235 Divide both numerator and denominator by 3]<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{3}}&amp;space;+&amp;space;\\mathbf{\\frac{3}{5}}\" alt=\"\\mathbf{\\frac{5}{3}} + \\mathbf{\\frac{3}{5}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 3 and 5 is 15<\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5\\times&amp;space;5}{3\\times&amp;space;5}&amp;space;+&amp;space;\\frac{2\\times&amp;space;3}{5\\times&amp;space;3}\" alt=\"\\frac{5\\times 5}{3\\times 5} + \\frac{2\\times 3}{5\\times 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{25}{15}&amp;space;+&amp;space;\\frac{9}{15}\" alt=\"\\frac{25}{15} + \\frac{9}{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{34}{15}\" alt=\"\\frac{34}{15}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iii)<\/strong> <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-9}{10}}&amp;space;+&amp;space;\\mathbf{\\frac{22}{15}}\" alt=\"\\mathbf{\\frac{-9}{10}} + \\mathbf{\\frac{22}{15}}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 10 and 15 is 30<\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-9\\times&amp;space;3}{10\\times&amp;space;3}&amp;space;+\\frac{22\\times&amp;space;2}{15\\times&amp;space;2}\" alt=\"\\frac{-9\\times 3}{10\\times 3} +\\frac{22\\times 2}{15\\times 2}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-27}{30}&amp;space;+&amp;space;\\frac{44}{30}\" alt=\"\\frac{-27}{30} + \\frac{44}{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>(iv)<\/strong> <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-3}{-11}}+\\mathbf{\\frac{5}{9}}\" alt=\"\\mathbf{\\frac{-3}{-11}}+\\mathbf{\\frac{5}{9}}\" 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}{11}&amp;space;+&amp;space;\\frac{5}{9}\" alt=\"\\frac{3}{11} + \\frac{5}{9}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 11 and 9 is 99<\/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\\times&amp;space;9}{11\\times&amp;space;9}&amp;space;+&amp;space;\\frac{5\\times&amp;space;11}{9\\times&amp;space;11}\" alt=\"\\frac{3\\times 9}{11\\times 9} + \\frac{5\\times 11}{9\\times 11}\" 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{27}{99}+\\frac{55}{99}\" alt=\"\\frac{27}{99}+\\frac{55}{99}\" 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{82}{99}\" alt=\"\\frac{82}{99}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(v)<\/strong> <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-8}{19}}+\\mathbf{\\frac{(-2)}{57}}\" alt=\"\\mathbf{\\frac{-8}{19}}+\\mathbf{\\frac{(-2)}{57}}\" 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}{19}-\\frac{2}{57}\" alt=\"\\frac{-8}{19}-\\frac{2}{57}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 19 and 57 is 57<\/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\\times&amp;space;3}{19\\times&amp;space;3}&amp;space;-&amp;space;\\frac{2}{57}\" alt=\"\\frac{-8\\times 3}{19\\times 3} - \\frac{2}{57}\" 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{-24}{57}&amp;space;-&amp;space;\\frac{2}{57}\" alt=\"\\frac{-24}{57} - \\frac{2}{57}\" 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{-24-2}{57}\" alt=\"\\frac{-24-2}{57}\" 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{-26}{57}\" alt=\"\\frac{-26}{57}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(vi) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-2}{3}&amp;space;+&amp;space;0}\" alt=\"\\mathbf{\\frac{-2}{3} + 0}\" 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{2}{3}\" alt=\"-\\frac{2}{3}\" align=\"absmiddle\" \/> + 0<\/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}{3}\" alt=\"-\\frac{2}{3}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(vii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{-2\\frac{1}{3}&amp;space;+&amp;space;4\\frac{3}{5}}\" alt=\"\\mathbf{-2\\frac{1}{3} + 4\\frac{3}{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{-7}{3}&amp;space;+&amp;space;\\frac{23}{5}\" alt=\"\\frac{-7}{3} + \\frac{23}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 3 and 5 is 15<\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-7\\times&amp;space;5}{3\\times&amp;space;5}&amp;space;+&amp;space;\\frac{23\\times&amp;space;3}{5\\times&amp;space;3}\" alt=\"\\frac{-7\\times 5}{3\\times 5} + \\frac{23\\times 3}{5\\times 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{-35}{15}&amp;space;+&amp;space;\\frac{69}{15}\" alt=\"\\frac{-35}{15} + \\frac{69}{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{-35+69}{15}\" alt=\"\\frac{-35+69}{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{34}{15}\" alt=\"\\frac{34}{15}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>2. Find<\/strong><\/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?\\mathbf{\\frac{7}{24}-\\frac{17}{36}}\" alt=\"\\mathbf{\\frac{7}{24}-\\frac{17}{36}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/strong><strong>(ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{63}-\\left&amp;space;(&amp;space;\\frac{-6}{21}&amp;space;\\right&amp;space;)}\" alt=\"\\mathbf{\\frac{5}{63}-\\left ( \\frac{-6}{21} \\right )}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (iii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-6}{13}&amp;space;-&amp;space;\\left&amp;space;(&amp;space;\\frac{-7}{15}&amp;space;\\right&amp;space;)}\" alt=\"\\mathbf{\\frac{-6}{13} - \\left ( \\frac{-7}{15} \\right )}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iv) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-3}{8}-\\frac{7}{11}}\" alt=\"\\mathbf{\\frac{-3}{8}-\\frac{7}{11}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (v) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{-2\\frac{1}{9}&amp;space;-&amp;space;6}\" alt=\"\\mathbf{-2\\frac{1}{9} - 6}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{7}{24}-\\frac{17}{36}}\" alt=\"\\mathbf{\\frac{7}{24}-\\frac{17}{36}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 24 and 36 is 72<\/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{7\\times&amp;space;3}{24\\times&amp;space;3}&amp;space;-&amp;space;\\frac{17\\times&amp;space;2}{36\\times&amp;space;2}\" alt=\"\\frac{7\\times 3}{24\\times 3} - \\frac{17\\times 2}{36\\times 2}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{21}{72}&amp;space;-&amp;space;\\frac{34}{72}\" alt=\"\\frac{21}{72} - \\frac{34}{72}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{21-34}{72}\" alt=\"\\frac{21-34}{72}\" 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{-13}{72}\" alt=\"\\frac{-13}{72}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{63}-\\left&amp;space;(&amp;space;\\frac{-6}{21}&amp;space;\\right&amp;space;)}\" alt=\"\\mathbf{\\frac{5}{63}-\\left ( \\frac{-6}{21} \\right )}\" 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{5}{63}+\\frac{6}{21}\" alt=\"\\frac{5}{63}+\\frac{6}{21}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 63 and 21 is 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?\\frac{5}{63}&amp;space;+&amp;space;\\frac{6\\times&amp;space;3}{21\\times&amp;space;3}\" alt=\"\\frac{5}{63} + \\frac{6\\times 3}{21\\times 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{5}{63}+\\frac{18}{63}\" alt=\"\\frac{5}{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{5+18}{63}\" alt=\"\\frac{5+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{23}{63}\" alt=\"\\frac{23}{63}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-6}{13}&amp;space;-&amp;space;\\left&amp;space;(&amp;space;\\frac{-7}{15}&amp;space;\\right&amp;space;)}\" alt=\"\\mathbf{\\frac{-6}{13} - \\left ( \\frac{-7}{15} \\right )}\" 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{-6}{13}+\\frac{7}{15}\" alt=\"\\frac{-6}{13}+\\frac{7}{15}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 13 and 15 is 195<\/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{-6\\times&amp;space;15}{13\\times&amp;space;15}&amp;space;+&amp;space;\\frac{7\\times&amp;space;13}{15\\times&amp;space;13}\" alt=\"\\frac{-6\\times 15}{13\\times 15} + \\frac{7\\times 13}{15\\times 13}\" 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{-90}{195}&amp;space;+\\frac{91}{195}\" alt=\"\\frac{-90}{195} +\\frac{91}{195}\" 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{-90+91}{195}\" alt=\"\\frac{-90+91}{195}\" 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{1}{195}\" alt=\"\\frac{1}{195}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iv) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-3}{8}-\\frac{7}{11}}\" alt=\"\\mathbf{\\frac{-3}{8}-\\frac{7}{11}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 8 and 11 is 88<\/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\\times&amp;space;11}{8\\times&amp;space;11}-\\frac{7\\times&amp;space;8}{11\\times&amp;space;8}\" alt=\"\\frac{-3\\times 11}{8\\times 11}-\\frac{7\\times 8}{11\\times 8}\" 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{-33}{88}-\\frac{56}{88}\" alt=\"\\frac{-33}{88}-\\frac{56}{88}\" 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{-33-56}{88}\" alt=\"\\frac{-33-56}{88}\" 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{-89}{88}\" alt=\"\\frac{-89}{88}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(v) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{-2\\frac{1}{9}&amp;space;-&amp;space;6}\" alt=\"\\mathbf{-2\\frac{1}{9} - 6}\" 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{-19}{9}&amp;space;-6\" alt=\"\\frac{-19}{9} -6\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">LCM of 9 and 1 is 9<\/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{-19}{9}&amp;space;-\\frac{6\\times&amp;space;9}{1\\times&amp;space;9}\" alt=\"\\frac{-19}{9} -\\frac{6\\times 9}{1\\times 9}\" 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{-19}{9}&amp;space;-\\frac{54}{9}\" alt=\"\\frac{-19}{9} -\\frac{54}{9}\" 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{-19-54}{9}\" alt=\"\\frac{-19-54}{9}\" 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{-73}{9}\" alt=\"\\frac{-73}{9}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>3. Find the product:<\/strong><\/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?\\mathbf{\\frac{9}{2}\\times&amp;space;\\left&amp;space;(\\frac{-7}{4}&amp;space;\\right&amp;space;)}\" alt=\"\\mathbf{\\frac{9}{2}\\times \\left (\\frac{-7}{4} \\right )}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{10}\\times&amp;space;(-9)}\" alt=\"\\mathbf{\\frac{3}{10}\\times (-9)}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (iii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-6}{5}\\times&amp;space;\\frac{9}{11}}\" alt=\"\\mathbf{\\frac{-6}{5}\\times \\frac{9}{11}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iv) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{7}\\times&amp;space;\\left&amp;space;(\\frac{-2}{5}&amp;space;\\right&amp;space;)}\" alt=\"\\mathbf{\\frac{3}{7}\\times \\left (\\frac{-2}{5} \\right )}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (v) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{11}\\times&amp;space;\\frac{2}{5}}\" alt=\"\\mathbf{\\frac{3}{11}\\times \\frac{2}{5}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (vi) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{-5}\\times&amp;space;\\frac{-5}{3}}\" alt=\"\\mathbf{\\frac{3}{-5}\\times \\frac{-5}{3}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{9}{2}\\times&amp;space;\\left&amp;space;(\\frac{-7}{4}&amp;space;\\right&amp;space;)}\" alt=\"\\mathbf{\\frac{9}{2}\\times \\left (\\frac{-7}{4} \\right )}\" align=\"absmiddle\" \/>\u00a0 <\/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{9\\times&amp;space;-7}{2\\times&amp;space;4}\" alt=\"\\frac{9\\times -7}{2\\times 4}\" 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{-63}{8}\" alt=\"\\frac{-63}{8}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{10}\\times&amp;space;(-9)}\" alt=\"\\mathbf{\\frac{3}{10}\\times (-9)}\" 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{3}{10}\\times&amp;space;\\frac{-9}{1}\" alt=\"\\frac{3}{10}\\times \\frac{-9}{1}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3\\times&amp;space;-9}{10\\times&amp;space;1}\" alt=\"\\frac{3\\times -9}{10\\times 1}\" 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{-27}{10}\" alt=\"\\frac{-27}{10}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-6}{5}\\times&amp;space;\\frac{9}{11}}\" alt=\"\\mathbf{\\frac{-6}{5}\\times \\frac{9}{11}}\" 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{-6\\times&amp;space;9}{5\\times&amp;space;11}\" alt=\"\\frac{-6\\times 9}{5\\times 11}\" 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{-54}{55}\" alt=\"\\frac{-54}{55}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iv) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{7}\\times&amp;space;\\left&amp;space;(\\frac{-2}{5}&amp;space;\\right&amp;space;)}\" alt=\"\\mathbf{\\frac{3}{7}\\times \\left (\\frac{-2}{5} \\right )}\" 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{3\\times&amp;space;-2}{7\\times&amp;space;5}\" alt=\"\\frac{3\\times -2}{7\\times 5}\" 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{-6}{35}\" alt=\"\\frac{-6}{35}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(v) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{11}\\times&amp;space;\\frac{2}{5}}\" alt=\"\\mathbf{\\frac{3}{11}\\times \\frac{2}{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{3\\times&amp;space;2}{11\\times&amp;space;5}\" alt=\"\\frac{3\\times 2}{11\\times 5}\" 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{6}{55}\" alt=\"\\frac{6}{55}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(vi) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{-5}\\times&amp;space;\\frac{-5}{3}}\" alt=\"\\mathbf{\\frac{3}{-5}\\times \\frac{-5}{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?\\frac{3\\times&amp;space;-5}{-5\\times&amp;space;3}\" alt=\"\\frac{3\\times -5}{-5\\times 3}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">On simplifying,<\/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{-1}{-1}\" alt=\"\\frac{-1}{-1}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 1<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>4. Find the value of:<\/strong><\/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?\\mathbf{(-4)\\div&amp;space;\\frac{2}{3}}\" alt=\"\\mathbf{(-4)\\div \\frac{2}{3}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-3}{5}\\div&amp;space;2}\" alt=\"\\mathbf{\\frac{-3}{5}\\div 2}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (iii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-4}{5}\\div&amp;space;(-3)}\" alt=\"\\mathbf{\\frac{-4}{5}\\div (-3)}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iv) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-1}{8}\\div&amp;space;\\frac{3}{4}}\" alt=\"\\mathbf{\\frac{-1}{8}\\div \\frac{3}{4}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (v) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-2}{13}\\div&amp;space;\\frac{1}{7}}\" alt=\"\\mathbf{\\frac{-2}{13}\\div \\frac{1}{7}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (vi) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-7}{12}\\div&amp;space;\\left&amp;space;(\\frac{-2}{13}&amp;space;\\right&amp;space;)}\" alt=\"\\mathbf{\\frac{-7}{12}\\div \\left (\\frac{-2}{13} \\right )}\" align=\"absmiddle\" \/> \u00a0 \u00a0\u00a0<\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(vii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{13}\\div&amp;space;\\left&amp;space;(\\frac{-4}{65}&amp;space;\\right&amp;space;)}\" alt=\"\\mathbf{\\frac{3}{13}\\div \\left (\\frac{-4}{65} \\right )}\" align=\"absmiddle\" \/>\u00a0<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{(-4)\\div&amp;space;\\frac{2}{3}}\" alt=\"\\mathbf{(-4)\\div \\frac{2}{3}}\" align=\"absmiddle\" \/>\u00a0 \u00a0<\/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{-4}{1}&amp;space;\\times\\frac{3}{2}\" alt=\"\\frac{-4}{1} \\times\\frac{3}{2}\" align=\"absmiddle\" \/>\u00a0 &#8212;&#8212;&#8212;&#8212;&#8212;- [\u2235 reciprocal of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{3}\" alt=\"\\frac{2}{3}\" align=\"absmiddle\" \/> is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{2}\" alt=\"\\frac{3}{2}\" 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{-4\\times&amp;space;3}{1\\times&amp;space;2}\" alt=\"\\frac{-4\\times 3}{1\\times 2}\" 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;3}{1\\times&amp;space;1}\" alt=\"\\frac{-2\\times 3}{1\\times 1}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= &#8211; 6<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-3}{5}\\div&amp;space;2}\" alt=\"\\mathbf{\\frac{-3}{5}\\div 2}\" 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{-3}{5}\\times&amp;space;\\frac{1}{2}\" alt=\"\\frac{-3}{5}\\times \\frac{1}{2}\" align=\"absmiddle\" \/>\u00a0 \u00a0 &#8212;&#8212;&#8212;&#8212;&#8212;- [\u2235 reciprocal of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{1}\" alt=\"\\frac{2}{1}\" align=\"absmiddle\" \/> is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}\" alt=\"\\frac{1}{2}\" 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\\times&amp;space;1}{5\\times&amp;space;2}\" alt=\"\\frac{-3\\times 1}{5\\times 2}\" 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}{10}\" alt=\"\\frac{-3}{10}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-4}{5}\\div&amp;space;(-3)}\" alt=\"\\mathbf{\\frac{-4}{5}\\div (-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?\\frac{-4}{5}\\times&amp;space;\\frac{1}{-3}\" alt=\"\\frac{-4}{5}\\times \\frac{1}{-3}\" align=\"absmiddle\" \/>\u00a0 &#8212;&#8212;&#8212;&#8212; [\u2235 reciprocal of (-3) is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{-3}\" alt=\"\\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{-4\\times&amp;space;1}{5\\times&amp;space;-3}\" alt=\"\\frac{-4\\times 1}{5\\times -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{-4}{-15}\" alt=\"\\frac{-4}{-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{4}{15}\" alt=\"\\frac{4}{15}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iv) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-1}{8}\\div&amp;space;\\frac{3}{4}}\" alt=\"\\mathbf{\\frac{-1}{8}\\div \\frac{3}{4}}\" 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{-1}{8}\\times&amp;space;\\frac{4}{3}\" alt=\"\\frac{-1}{8}\\times \\frac{4}{3}\" align=\"absmiddle\" \/>\u00a0 &#8212;&#8212;&#8212;&#8212;&#8211; [\u2235 reciprocal of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{4}\" alt=\"\\frac{3}{4}\" align=\"absmiddle\" \/> is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{3}\" alt=\"\\frac{4}{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{-1\\times&amp;space;4}{8\\times&amp;space;3}\" alt=\"\\frac{-1\\times 4}{8\\times 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{-1\\times&amp;space;1}{2\\times&amp;space;3}\" alt=\"\\frac{-1\\times 1}{2\\times 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{-1}{6}\" alt=\"\\frac{-1}{6}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(v) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-2}{13}\\div&amp;space;\\frac{1}{7}}\" alt=\"\\mathbf{\\frac{-2}{13}\\div \\frac{1}{7}}\" 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{-2}{13}\\times&amp;space;\\frac{7}{1}\" alt=\"\\frac{-2}{13}\\times \\frac{7}{1}\" align=\"absmiddle\" \/>\u00a0 &#8212;&#8212;&#8212;&#8212;- [\u2235 reciprocal of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{7}\" alt=\"\\frac{1}{7}\" align=\"absmiddle\" \/> is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{1}\" alt=\"\\frac{7}{1}\" 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;7}{13\\times&amp;space;1}\" alt=\"\\frac{-2\\times 7}{13\\times 1}\" 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{-14}{13}\" alt=\"\\frac{-14}{13}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(vi) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-7}{12}\\div&amp;space;\\left&amp;space;(\\frac{-2}{13}&amp;space;\\right&amp;space;)}\" alt=\"\\mathbf{\\frac{-7}{12}\\div \\left (\\frac{-2}{13} \\right )}\" 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{-7}{12}\\times&amp;space;\\frac{13}{-2}\" alt=\"\\frac{-7}{12}\\times \\frac{13}{-2}\" align=\"absmiddle\" \/>\u00a0 &#8212;&#8212;&#8212;&#8212; [\u2235 reciprocal of \u00a0<img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-2}{13}\" alt=\"\\frac{-2}{13}\" align=\"absmiddle\" \/> is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{13}{-2}\" alt=\"\\frac{13}{-2}\" 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{-7\\times&amp;space;13}{12\\times&amp;space;-2}\" alt=\"\\frac{-7\\times 13}{12\\times -2}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= &#8211;<img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-91}{-24}\" alt=\"\\frac{-91}{-24}\" 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{91}{24}\" alt=\"\\frac{91}{24}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(vii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{13}\\div&amp;space;\\left&amp;space;(\\frac{-4}{65}&amp;space;\\right&amp;space;)}\" alt=\"\\mathbf{\\frac{3}{13}\\div \\left (\\frac{-4}{65} \\right )}\" 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{3}{13}\\times&amp;space;\\frac{65}{-4}\" alt=\"\\frac{3}{13}\\times \\frac{65}{-4}\" align=\"absmiddle\" \/>\u00a0 &#8212;&#8212;&#8212;&#8212; [\u2235 reciprocal of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-4}{65}\" alt=\"\\frac{-4}{65}\" align=\"absmiddle\" \/> is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{65}{-4}\" alt=\"\\frac{65}{-4}\" 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\\times&amp;space;65}{13\\times&amp;space;-4}\" alt=\"\\frac{3\\times 65}{13\\times -4}\" 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\\times&amp;space;5}{1\\times&amp;space;-4}\" alt=\"\\frac{3\\times 5}{1\\times -4}\" 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{15}{-4}\" alt=\"\\frac{15}{-4}\" align=\"absmiddle\" \/>\u00a0<\/span><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 7 Mathematics\u00a0 Chapter &#8211; 9 (Rational Numbers) The NCERT Solutions in English Language for Class 7 Mathematics Chapter &#8211; 9 Rational Numbers Exercise 9.2 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter : 9 Rational Numbers NCERT Solution Class 7 Maths Exercise &#8211; 9.1 [&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":[336,337,283,5],"class_list":["post-2034","post","type-post","status-publish","format-standard","hentry","category-class-7-maths","tag-ncert-class-7-maths-chapter-9-rational-numbers-in-english","tag-ncert-solutions-class-7-maths-chapter-9-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 v27.5) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 7 Maths Chapter 9 Rational Numbers Ex 9.2 | 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