{"id":1662,"date":"2022-11-02T15:15:59","date_gmt":"2022-11-02T15:15:59","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=1662"},"modified":"2022-11-02T15:15:59","modified_gmt":"2022-11-02T15:15:59","slug":"ncert-solutions-class-7-maths-chapter-2-fractions-and-decimals-ex-2-4","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-2-fractions-and-decimals-ex-2-4\/","title":{"rendered":"NCERT Solutions Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.4"},"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 2.4 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-2-3\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 7 Maths Exercise &#8211; 2.3<\/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; 2.4<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>1. Find:<br \/>\n<\/strong><strong>(i) 12 \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{4}}\" alt=\"\\mathbf{\\frac{3}{4}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/strong><strong>(ii) 14 \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{6}}\" alt=\"\\mathbf{\\frac{5}{6}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <\/strong><strong>(iii) 8 \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{7}{3}}\" alt=\"\\mathbf{\\frac{7}{3}}\" align=\"absmiddle\" \/>\u00a0 \u00a0<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) 4 \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{8}{3}}\" alt=\"\\mathbf{\\frac{8}{3}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(v) 3 \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{2\\frac{1}{3}}\" alt=\"\\mathbf{2\\frac{1}{3}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (vi) 5 \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{3\\frac{4}{7}}\" alt=\"\\mathbf{3\\frac{4}{7}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong><strong>(i) 12 \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{4}}\" alt=\"\\mathbf{\\frac{3}{4}}\" align=\"absmiddle\" \/><br \/>\n<\/strong>= 12 \u00d7 reciprocal of\u00a0 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{4}\" alt=\"\\frac{3}{4}\" align=\"absmiddle\" \/><br \/>\n= 12 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{3}\" alt=\"\\frac{4}{3}\" align=\"absmiddle\" \/><br \/>\n= 4 \u00d7 4<br \/>\n= 16<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) 14 \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{6}}\" alt=\"\\mathbf{\\frac{5}{6}}\" align=\"absmiddle\" \/><br \/>\n<\/strong>= 14 \u00d7 reciprocal of\u00a0 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{6}\" alt=\"\\frac{5}{6}\" align=\"absmiddle\" \/><br \/>\n= 14 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{6}{5}\" alt=\"\\frac{6}{5}\" align=\"absmiddle\" \/><br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{84}{5}\" alt=\"\\frac{84}{5}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?16\\frac{4}{5}\" alt=\"16\\frac{4}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) 8 \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{7}{3}}\" alt=\"\\mathbf{\\frac{7}{3}}\" align=\"absmiddle\" \/><br \/>\n<\/strong>= 8 \u00d7 reciprocal of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{3}\" alt=\"\\frac{7}{3}\" align=\"absmiddle\" \/><br \/>\n= 8 \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{24}{7}\" alt=\"\\frac{24}{7}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?3\\frac{3}{7}\" alt=\"3\\frac{3}{7}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) 4 \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{8}{3}}\" alt=\"\\mathbf{\\frac{8}{3}}\" align=\"absmiddle\" \/><br \/>\n<\/strong>= 4 \u00d7 reciprocal of \u00a0<img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8}{3}\" alt=\"\\frac{8}{3}\" align=\"absmiddle\" \/><br \/>\n= 4 \u00d7 <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;\">= 1 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{2}\" alt=\"\\frac{3}{2}\" align=\"absmiddle\" \/>\u00a0 = <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;\"><strong>(v) 3 \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{2\\frac{1}{3}}\" alt=\"\\mathbf{2\\frac{1}{3}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?3&amp;space;\\div&amp;space;\\frac{7}{3}\" alt=\"3 \\div \\frac{7}{3}\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"color: #000000;\">= 3 \u00d7 reciprocal of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{3}\" alt=\"\\frac{7}{3}\" align=\"absmiddle\" \/><br \/>\n= 3 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{7}\" alt=\"\\frac{3}{7}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{9}{7}\" alt=\"\\frac{9}{7}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?1\\frac{2}{7}\" alt=\"1\\frac{2}{7}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(vi) 5 \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{3\\frac{4}{7}}\" alt=\"\\mathbf{3\\frac{4}{7}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">= 5 \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{25}{7}\" alt=\"\\frac{25}{7}\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"color: #000000;\">= 5 \u00d7 reciprocal of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{25}{7}\" alt=\"\\frac{25}{7}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= 5 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{25}\" alt=\"\\frac{7}{25}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= 1 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{5}\" alt=\"\\frac{7}{5}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{5}\" alt=\"\\frac{7}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>2. Find the reciprocal of each of the following fractions. Classify the reciprocals as proper fractions, improper fractions and whole numbers.<\/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{3}{7}}\" alt=\"\\mathbf{\\frac{3}{7}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{8}}\" alt=\"\\mathbf{\\frac{5}{8}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (iii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{9}{7}}\" alt=\"\\mathbf{\\frac{9}{7}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/strong><\/span><span style=\"color: #000000;\"><strong>(iv) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{6}{5}}\" alt=\"\\mathbf{\\frac{6}{5}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 <\/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{12}{7}}\" alt=\"\\mathbf{\\frac{12}{7}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 (vi) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{8}}\" alt=\"\\mathbf{\\frac{1}{8}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (vii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{11}}\" alt=\"\\mathbf{\\frac{1}{11}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{7}}\" alt=\"\\mathbf{\\frac{3}{7}}\" align=\"absmiddle\" \/><br \/>\n<\/strong>Reciprocal of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{7}\" alt=\"\\frac{3}{7}\" align=\"absmiddle\" \/> is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{3}\" alt=\"\\frac{7}{3}\" align=\"absmiddle\" \/><br \/>\n[\u2235 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{7}\" alt=\"\\frac{3}{7}\" align=\"absmiddle\" \/>\u00a0 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{3}\" alt=\"\\frac{7}{3}\" align=\"absmiddle\" \/>\u00a0 = 1]<br \/>\nSo, it is an improper fraction.<br \/>\nImproper fraction is that fraction in which numerator is greater than its denominator.<\/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{5}{8}}\" alt=\"\\mathbf{\\frac{5}{8}}\" align=\"absmiddle\" \/><br \/>\n<\/strong>Reciprocal of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{8}\" alt=\"\\frac{5}{8}\" align=\"absmiddle\" \/> is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8}{5}\" alt=\"\\frac{8}{5}\" align=\"absmiddle\" \/><br \/>\n[\u2235 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{8}\" alt=\"\\frac{5}{8}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8}{5}\" alt=\"\\frac{8}{5}\" align=\"absmiddle\" \/> = 1]<br \/>\nSo, it is an improper fraction.<br \/>\nImproper fraction is that fraction in which numerator is greater than its denominator.<\/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{9}{7}}\" alt=\"\\mathbf{\\frac{9}{7}}\" align=\"absmiddle\" \/><br \/>\n<\/strong>Reciprocal of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{9}{7}\" alt=\"\\frac{9}{7}\" align=\"absmiddle\" \/> is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{9}\" alt=\"\\frac{7}{9}\" align=\"absmiddle\" \/><br \/>\n[\u2235 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{9}{7}\" alt=\"\\frac{9}{7}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{9}\" alt=\"\\frac{7}{9}\" align=\"absmiddle\" \/> = 1]<br \/>\nSo, it is a proper fraction.<br \/>\nA proper fraction is that fraction in which denominator is greater than the numerator of the fraction.<\/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{6}{5}}\" alt=\"\\mathbf{\\frac{6}{5}}\" align=\"absmiddle\" \/><br \/>\n<\/strong>Reciprocal of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{6}{5}\" alt=\"\\frac{6}{5}\" align=\"absmiddle\" \/> is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{6}\" alt=\"\\frac{5}{6}\" align=\"absmiddle\" \/><br \/>\n[\u2235 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{6}{5}\" alt=\"\\frac{6}{5}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{6}\" alt=\"\\frac{5}{6}\" align=\"absmiddle\" \/> = 1]<br \/>\nSo, it is a proper fraction.<br \/>\nA proper fraction is that fraction in which denominator is greater than the numerator of the fraction.<\/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{12}{7}}\" alt=\"\\mathbf{\\frac{12}{7}}\" align=\"absmiddle\" \/><br \/>\n<\/strong>Reciprocal of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{12}{7}\" alt=\"\\frac{12}{7}\" align=\"absmiddle\" \/> is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{12}\" alt=\"\\frac{7}{12}\" align=\"absmiddle\" \/><br \/>\n[\u2235 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{12}{7}\" alt=\"\\frac{12}{7}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{12}\" alt=\"\\frac{7}{12}\" align=\"absmiddle\" \/> = 1]<br \/>\nSo, it is a proper fraction.<br \/>\nA proper fraction is that fraction in which denominator is greater than the numerator of the fraction.<\/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{1}{8}}\" alt=\"\\mathbf{\\frac{1}{8}}\" align=\"absmiddle\" \/><br \/>\n<\/strong>Reciprocal of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{8}\" alt=\"\\frac{1}{8}\" align=\"absmiddle\" \/> is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8}{1}\" alt=\"\\frac{8}{1}\" align=\"absmiddle\" \/> or 8<br \/>\n[\u2235 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{8}\" alt=\"\\frac{1}{8}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8}{1}\" alt=\"\\frac{8}{1}\" align=\"absmiddle\" \/> = 1]<br \/>\nSo, it is a whole number.<br \/>\nWhole numbers are collection of all positive integers including 0.<\/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{1}{11}}\" alt=\"\\mathbf{\\frac{1}{11}}\" align=\"absmiddle\" \/><br \/>\n<\/strong>Reciprocal of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{11}\" alt=\"\\frac{1}{11}\" align=\"absmiddle\" \/> is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{11}{1}\" alt=\"\\frac{11}{1}\" align=\"absmiddle\" \/> or 11<br \/>\n[\u2235 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{11}\" alt=\"\\frac{1}{11}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{11}{1}\" alt=\"\\frac{11}{1}\" align=\"absmiddle\" \/> = 1]<br \/>\nSo, it is a whole number.<br \/>\nWhole numbers are collection of all positive integers including 0.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>3. 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{7}{3}}\" alt=\"\\mathbf{\\frac{7}{3}}\" align=\"absmiddle\" \/> \u00f7 2\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{4}{9}}\" alt=\"\\mathbf{\\frac{4}{9}}\" align=\"absmiddle\" \/> \u00f7 5\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}}\" alt=\"\\mathbf{\\frac{6}{13}}\" align=\"absmiddle\" \/> \u00f7 7<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(iv) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{4\\frac{1}{3}}\" alt=\"\\mathbf{4\\frac{1}{3}}\" align=\"absmiddle\" \/> \u00f7 3\u00a0 \u00a0 \u00a0 (v) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{3\\frac{1}{2}}\" alt=\"\\mathbf{3\\frac{1}{2}}\" align=\"absmiddle\" \/> \u00f7 4\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (vi) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{4\\frac{3}{7}}\" alt=\"\\mathbf{4\\frac{3}{7}}\" align=\"absmiddle\" \/>\u00a0\u00f7 7\u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/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{7}{3}}\" alt=\"\\mathbf{\\frac{7}{3}}\" align=\"absmiddle\" \/> \u00f7 2<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{3}\" alt=\"\\frac{7}{3}\" align=\"absmiddle\" \/> \u00d7 reciprocal of 2 <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{3}\" alt=\"\\frac{7}{3}\" align=\"absmiddle\" \/> \u00d7 <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;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{6}\" alt=\"\\frac{7}{6}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?1\\frac{1}{6}\" alt=\"1\\frac{1}{6}\" 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{4}{9}}\" alt=\"\\mathbf{\\frac{4}{9}}\" align=\"absmiddle\" \/> \u00f7 5<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{9}\" alt=\"\\frac{4}{9}\" align=\"absmiddle\" \/> \u00d7 reciprocal of 5<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{9}\" alt=\"\\frac{4}{9}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{5}\" alt=\"\\frac{1}{5}\" 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{4}{45}\" alt=\"\\frac{4}{45}\" align=\"absmiddle\" \/><\/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{6}{13}}\" alt=\"\\mathbf{\\frac{6}{13}}\" align=\"absmiddle\" \/> \u00f7 7<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{6}{13}\" alt=\"\\frac{6}{13}\" align=\"absmiddle\" \/> \u00d7 reciprocal of 7<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{6}{13}\" alt=\"\\frac{6}{13}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{7}\" alt=\"\\frac{1}{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{6}{91}\" alt=\"\\frac{6}{91}\" align=\"absmiddle\" \/><\/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{4\\frac{1}{3}}\" alt=\"\\mathbf{4\\frac{1}{3}}\" align=\"absmiddle\" \/>\u00a0\u00f7 3<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{13}{3}\" alt=\"\\frac{13}{3}\" align=\"absmiddle\" \/> \u00f7 3<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{13}{3}\" alt=\"\\frac{13}{3}\" align=\"absmiddle\" \/> \u00d7 reciprocal of 3<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{13}{3}\" alt=\"\\frac{13}{3}\" align=\"absmiddle\" \/> \u00d7 <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;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{13}{9}\" alt=\"\\frac{13}{9}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?1\\frac{4}{9}\" alt=\"1\\frac{4}{9}\" align=\"absmiddle\" \/><\/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{1}{2}}\" alt=\"\\mathbf{3\\frac{1}{2}}\" align=\"absmiddle\" \/> \u00f7 4<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{2}\" alt=\"\\frac{7}{2}\" align=\"absmiddle\" \/> \u00f7 4<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{2}\" alt=\"\\frac{7}{2}\" align=\"absmiddle\" \/> \u00d7 reciprocal of 4<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{2}\" alt=\"\\frac{7}{2}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{4}\" alt=\"\\frac{1}{4}\" 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{7}{8}\" alt=\"\\frac{7}{8}\" align=\"absmiddle\" \/><\/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{4\\frac{3}{7}}\" alt=\"\\mathbf{4\\frac{3}{7}}\" align=\"absmiddle\" \/>\u00a0\u00f7 7<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{31}{7}\" alt=\"\\frac{31}{7}\" align=\"absmiddle\" \/> \u00f7 7<\/span><\/p>\n<p><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{31}{7}\" alt=\"\\frac{31}{7}\" align=\"absmiddle\" \/> \u00d7 reciprocal of 7<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{31}{7}\" alt=\"\\frac{31}{7}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{7}\" alt=\"\\frac{1}{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{31}{49}\" alt=\"\\frac{31}{49}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>4. 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{2}{5}}\" alt=\"\\mathbf{\\frac{2}{5}}\" align=\"absmiddle\" \/> \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{2}}\" alt=\"\\mathbf{\\frac{1}{2}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{4}{9}}\" alt=\"\\mathbf{\\frac{4}{9}}\" align=\"absmiddle\" \/> \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{3}}\" alt=\"\\mathbf{\\frac{2}{3}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(iii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{7}}\" alt=\"\\mathbf{\\frac{3}{7}}\" align=\"absmiddle\" \/> \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{8}{7}}\" alt=\"\\mathbf{\\frac{8}{7}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (iv) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{2\\frac{1}{3}}\" alt=\"\\mathbf{2\\frac{1}{3}}\" align=\"absmiddle\" \/> \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{5}}\" alt=\"\\mathbf{\\frac{3}{5}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0<\/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{1}{2}}\" alt=\"\\mathbf{3\\frac{1}{2}}\" align=\"absmiddle\" \/> \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{8}{3}}\" alt=\"\\mathbf{\\frac{8}{3}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 <\/strong><strong>(vi) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{5}}\" alt=\"\\mathbf{\\frac{2}{5}}\" align=\"absmiddle\" \/> \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{1\\frac{1}{2}}\" alt=\"\\mathbf{1\\frac{1}{2}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(vii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{3\\frac{1}{5}}\" alt=\"\\mathbf{3\\frac{1}{5}}\" align=\"absmiddle\" \/> \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{1\\frac{2}{3}}\" alt=\"\\mathbf{1\\frac{2}{3}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(viii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{2\\frac{1}{5}}\" alt=\"\\mathbf{2\\frac{1}{5}}\" align=\"absmiddle\" \/> \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{1\\frac{1}{5}}\" alt=\"\\mathbf{1\\frac{1}{5}}\" 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}{5}}\" alt=\"\\mathbf{\\frac{2}{5}}\" align=\"absmiddle\" \/> \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{2}}\" alt=\"\\mathbf{\\frac{1}{2}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0<\/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}{5}\" alt=\"\\frac{2}{5}\" align=\"absmiddle\" \/> \u00d7 reciprocal of <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;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{5}\" alt=\"\\frac{2}{5}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{1}\" alt=\"\\frac{2}{1}\" 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{4}{5}\" alt=\"\\frac{4}{5}\" 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{4}{9}}\" alt=\"\\mathbf{\\frac{4}{9}}\" align=\"absmiddle\" \/> \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{3}}\" alt=\"\\mathbf{\\frac{2}{3}}\" 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{4}{9}\" alt=\"\\frac{4}{9}\" align=\"absmiddle\" \/> \u00d7 reciprocal of <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;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{9}\" alt=\"\\frac{4}{9}\" align=\"absmiddle\" \/> \u00d7 <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;\">= <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;\"><strong>(iii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{7}}\" alt=\"\\mathbf{\\frac{3}{7}}\" align=\"absmiddle\" \/> \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{8}{7}}\" alt=\"\\mathbf{\\frac{8}{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{3}{7}\" alt=\"\\frac{3}{7}\" align=\"absmiddle\" \/> \u00d7 reciprocal of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8}{7}\" alt=\"\\frac{8}{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{3}{7}\" alt=\"\\frac{3}{7}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{8}\" alt=\"\\frac{7}{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{3}{8}\" alt=\"\\frac{3}{8}\" align=\"absmiddle\" \/><\/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{2\\frac{1}{3}}\" alt=\"\\mathbf{2\\frac{1}{3}}\" align=\"absmiddle\" \/> \u00f7 <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><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{3}\" alt=\"\\frac{7}{3}\" align=\"absmiddle\" \/> \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{5}\" alt=\"\\frac{3}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{3}\" alt=\"\\frac{7}{3}\" align=\"absmiddle\" \/> \u00d7 reciprocal of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{5}\" alt=\"\\frac{3}{5}\" 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{7}{3}\" alt=\"\\frac{7}{3}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{3}\" alt=\"\\frac{5}{3}\" 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{35}{9}\" alt=\"\\frac{35}{9}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?3\\frac{8}{9}\" alt=\"3\\frac{8}{9}\" align=\"absmiddle\" \/><\/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{1}{2}}\" alt=\"\\mathbf{3\\frac{1}{2}}\" align=\"absmiddle\" \/> \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{8}{3}}\" alt=\"\\mathbf{\\frac{8}{3}}\" 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{7}{2}\" alt=\"\\frac{7}{2}\" align=\"absmiddle\" \/> \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8}{3}\" alt=\"\\frac{8}{3}\" 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{7}{2}\" alt=\"\\frac{7}{2}\" align=\"absmiddle\" \/> \u00d7 reciprocal of \u00a0<img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8}{3}\" alt=\"\\frac{8}{3}\" 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{7}{2}\" alt=\"\\frac{7}{2}\" align=\"absmiddle\" \/> \u00d7 <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;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{21}{16}\" alt=\"\\frac{21}{16}\" align=\"absmiddle\" \/><\/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{2}{5}}\" alt=\"\\mathbf{\\frac{2}{5}}\" align=\"absmiddle\" \/> \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{1\\frac{1}{2}}\" alt=\"\\mathbf{1\\frac{1}{2}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{5}\" alt=\"\\frac{2}{5}\" align=\"absmiddle\" \/> \u00f7 <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;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{5}\" alt=\"\\frac{2}{5}\" align=\"absmiddle\" \/> \u00d7 reciprocal of <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;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{5}\" alt=\"\\frac{2}{5}\" align=\"absmiddle\" \/> \u00d7 <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;\">= <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;\"><strong>(vii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{3\\frac{1}{5}}\" alt=\"\\mathbf{3\\frac{1}{5}}\" align=\"absmiddle\" \/> \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{1\\frac{2}{3}}\" alt=\"\\mathbf{1\\frac{2}{3}}\" 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{16}{5}\" alt=\"\\frac{16}{5}\" align=\"absmiddle\" \/> \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{3}\" alt=\"\\frac{5}{3}\" 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{16}{5}\" alt=\"\\frac{16}{5}\" align=\"absmiddle\" \/> \u00d7 reciprocal of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{3}\" alt=\"\\frac{5}{3}\" 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{16}{5}\" alt=\"\\frac{16}{5}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{5}\" alt=\"\\frac{3}{5}\" 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{48}{25}\" alt=\"\\frac{48}{25}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?1\\frac{23}{25}\" alt=\"1\\frac{23}{25}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(viii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{2\\frac{1}{5}}\" alt=\"\\mathbf{2\\frac{1}{5}}\" align=\"absmiddle\" \/> \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{1\\frac{1}{5}}\" alt=\"\\mathbf{1\\frac{1}{5}}\" 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{11}{5}\" alt=\"\\frac{11}{5}\" align=\"absmiddle\" \/> \u00f7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{6}{5}\" alt=\"\\frac{6}{5}\" 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{11}{5}\" alt=\"\\frac{11}{5}\" align=\"absmiddle\" \/> \u00d7 reciprocal of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{6}{5}\" alt=\"\\frac{6}{5}\" 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{11}{5}\" alt=\"\\frac{11}{5}\" align=\"absmiddle\" \/> \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{6}\" alt=\"\\frac{5}{6}\" 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{11}6{}\" alt=\"\\frac{11}6{}\" align=\"absmiddle\" \/><\/span><\/p>\n<p>&nbsp;<\/p>\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 2.4 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-1662","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 2.4 | 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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