{"id":1660,"date":"2022-11-02T15:15:39","date_gmt":"2022-11-02T15:15:39","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=1660"},"modified":"2022-11-02T15:15:39","modified_gmt":"2022-11-02T15:15:39","slug":"ncert-solutions-class-7-maths-chapter-2-fractions-and-decimals-ex-2-2","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-2-fractions-and-decimals-ex-2-2\/","title":{"rendered":"NCERT Solutions Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.2"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 7 Maths<\/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 2.2 has been provided here to help the students in solving the questions from this exercise.<\/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-2-3\" 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-2-4\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 7 Maths Exercise &#8211; 2.4<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-2-fractions-and-decimals-ex-2-5\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 7 Maths Exercise &#8211; 2.5<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-2-fractions-and-decimals-ex-2-6\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 7 Maths Exercise &#8211; 2.6<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-2-fractions-and-decimals-ex-2-7\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 7 Maths Exercise &#8211; 2.7<\/a><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 2.2<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>1. Which of the drawings (a) to (d) show:<br \/>\n<\/strong><strong>(i) 2 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{5}}\" alt=\"\\mathbf{\\frac{1}{5}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) 2 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{2}}\" alt=\"\\mathbf{\\frac{1}{2}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) 3 \u00d7 <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;\"><strong>(iv) 3 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{4}}\" alt=\"\\mathbf{\\frac{1}{4}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1680\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-2.2-Q1.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"604\" height=\"194\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-2.2-Q1.png 604w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-2.2-Q1-300x96.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-2.2-Q1-480x154.png 480w\" sizes=\"auto, (max-width: 604px) 100vw, 604px\" \/><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(i)<\/strong>\u00a0<span id=\"MathJax-Element-2-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-56\" class=\"math\"><span id=\"MathJax-Span-57\" class=\"mrow\"><span id=\"MathJax-Span-58\" class=\"mn\">2 <\/span><span id=\"MathJax-Span-59\" class=\"mo\">\u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{5}\" alt=\"\\frac{1}{5}\" align=\"absmiddle\" \/><\/span><\/span><\/span><\/span> represents drawing (d)<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(ii)<\/strong>\u00a0<span id=\"MathJax-Element-3-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-63\" class=\"math\"><span id=\"MathJax-Span-64\" class=\"mrow\"><span id=\"MathJax-Span-65\" class=\"mn\">2 <\/span><span id=\"MathJax-Span-66\" class=\"mo\">\u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}\" alt=\"\\frac{1}{2}\" align=\"absmiddle\" \/><\/span><\/span><\/span><\/span> represents drawing (b)<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(iii)<\/strong>\u00a0<span id=\"MathJax-Element-4-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-70\" class=\"math\"><span id=\"MathJax-Span-71\" class=\"mrow\"><span id=\"MathJax-Span-72\" class=\"mn\">3 <\/span><span id=\"MathJax-Span-73\" class=\"mo\">\u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{3}\" alt=\"\\frac{2}{3}\" align=\"absmiddle\" \/><\/span><\/span><\/span><\/span> represents drawing (a)<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(iv)<\/strong> <span id=\"MathJax-Element-5-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-77\" class=\"math\"><span id=\"MathJax-Span-78\" class=\"mrow\"><span id=\"MathJax-Span-79\" class=\"mn\">3 <\/span><span id=\"MathJax-Span-80\" class=\"mo\">\u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{4}\" alt=\"\\frac{1}{4}\" align=\"absmiddle\" \/><\/span><\/span><\/span><\/span>\u00a0represents drawing (c)<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>2. Some pictures (a) to (c) are given below. Tell which of them show:<br \/>\n<\/strong><strong>(i) 3 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{5}}\" alt=\"\\mathbf{\\frac{1}{5}}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{5}}\" alt=\"\\mathbf{\\frac{3}{5}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) 2 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{3}}\" alt=\"\\mathbf{\\frac{1}{3}}\" align=\"absmiddle\" \/> = <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;\"><strong>(iii) 3 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{4}}\" alt=\"\\mathbf{\\frac{3}{4}}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{2\\frac{1}{4}}\" alt=\"\\mathbf{2\\frac{1}{4}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1681\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-2.2-Q2.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"456\" height=\"411\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-2.2-Q2.png 456w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-2.2-Q2-300x270.png 300w\" sizes=\"auto, (max-width: 456px) 100vw, 456px\" \/><\/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;\">(i) <strong>3 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{5}}\" alt=\"\\mathbf{\\frac{1}{5}}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{5}}\" alt=\"\\mathbf{\\frac{3}{5}}\" align=\"absmiddle\" \/> <\/strong>represents figure (c)<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">(ii) <strong>2 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{3}}\" alt=\"\\mathbf{\\frac{1}{3}}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{3}}\" alt=\"\\mathbf{\\frac{2}{3}}\" align=\"absmiddle\" \/> <\/strong>represents figure (a)<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">(iii) <strong>3 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{4}}\" alt=\"\\mathbf{\\frac{3}{4}}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{2\\frac{1}{4}}\" alt=\"\\mathbf{2\\frac{1}{4}}\" align=\"absmiddle\" \/> <\/strong>represents figure (b)<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>3. Multiply and reduce to lowest form and convert into a mixed fraction:<br \/>\n<\/strong><strong>(i) 7 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{5}}\" alt=\"\\mathbf{\\frac{3}{5}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) 4 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{3}}\" alt=\"\\mathbf{\\frac{1}{3}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) 2 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{6}{7}}\" alt=\"\\mathbf{\\frac{6}{7}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) 5 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{9}}\" alt=\"\\mathbf{\\frac{2}{9}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(v) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{3}}\" alt=\"\\mathbf{\\frac{2}{3}}\" align=\"absmiddle\" \/> \u00d7 4<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(vi) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{2}}\" alt=\"\\mathbf{\\frac{5}{2}}\" align=\"absmiddle\" \/> \u00d7 6<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(vii) 11 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{4}{7}}\" alt=\"\\mathbf{\\frac{4}{7}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(viii) 20 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{4}{5}}\" alt=\"\\mathbf{\\frac{4}{5}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ix) 13 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{3}}\" alt=\"\\mathbf{\\frac{1}{3}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(x) 15 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{5}}\" alt=\"\\mathbf{\\frac{3}{5}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(i) 7 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{5}}\" alt=\"\\mathbf{\\frac{3}{5}}\" align=\"absmiddle\" \/> <\/strong>= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{21}{5}\" alt=\"\\frac{21}{5}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?4\\frac{1}{5}\" alt=\"4\\frac{1}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) 4 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{3}}\" alt=\"\\mathbf{\\frac{1}{3}}\" align=\"absmiddle\" \/> <\/strong>= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{3}&amp;space;=&amp;space;1\\frac{1}{3}\" alt=\"\\frac{4}{3} = 1\\frac{1}{3}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) 2 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{6}{7}}\" alt=\"\\mathbf{\\frac{6}{7}}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{12}{7}&amp;space;=&amp;space;1\\frac{5}{7}\" alt=\"\\frac{12}{7} = 1\\frac{5}{7}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) 5 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{9}}\" alt=\"\\mathbf{\\frac{2}{9}}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10}{9}&amp;space;=&amp;space;1\\frac{1}{9}\" alt=\"\\frac{10}{9} = 1\\frac{1}{9}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(v) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{3}}\" alt=\"\\mathbf{\\frac{2}{3}}\" align=\"absmiddle\" \/> \u00d7 4 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8}{3}&amp;space;=&amp;space;2\\frac{2}{3}\" alt=\"\\frac{8}{3} = 2\\frac{2}{3}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(vi) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{2}}\" alt=\"\\mathbf{\\frac{5}{2}}\" align=\"absmiddle\" \/> \u00d7 6 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{30}{2}&amp;space;=&amp;space;15\" alt=\"\\frac{30}{2} = 15\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(vii) 11 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{4}{7}}\" alt=\"\\mathbf{\\frac{4}{7}}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{44}{7}&amp;space;=&amp;space;6\\frac{2}{7}\" alt=\"\\frac{44}{7} = 6\\frac{2}{7}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(viii) 20 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{4}{5}}\" alt=\"\\mathbf{\\frac{4}{5}}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{80}{5}&amp;space;=&amp;space;16\" alt=\"\\frac{80}{5} = 16\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ix) 13 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{3}}\" alt=\"\\mathbf{\\frac{1}{3}}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{13}{3}&amp;space;=&amp;space;4\\frac{1}{3}\" alt=\"\\frac{13}{3} = 4\\frac{1}{3}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(x) 15 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{5}}\" alt=\"\\mathbf{\\frac{3}{5}}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{45}{5}&amp;space;=&amp;space;9\" alt=\"\\frac{45}{5} = 9\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>4. Shade:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{2}}\" alt=\"\\mathbf{\\frac{1}{2}}\" align=\"absmiddle\" \/> of the circles in box (a)<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(b) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{3}}\" alt=\"\\mathbf{\\frac{2}{3}}\" align=\"absmiddle\" \/> of the triangles in box (b)<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{5}}\" alt=\"\\mathbf{\\frac{3}{5}}\" align=\"absmiddle\" \/> of the squares in the box (c)<br \/>\n<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1682\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-2.2-Q3.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"629\" height=\"181\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-2.2-Q3.png 629w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-2.2-Q3-300x86.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-2.2-Q3-480x138.png 480w\" sizes=\"auto, (max-width: 629px) 100vw, 629px\" \/><\/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{1}{2}}\" alt=\"\\mathbf{\\frac{1}{2}}\" align=\"absmiddle\" \/> of the circles in box (a)<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">\u2234 12 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}\" alt=\"\\frac{1}{2}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{12}{2}&amp;space;=&amp;space;6\" alt=\"\\frac{12}{2} = 6\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1683\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-2.2-Ans2a.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"146\" height=\"154\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(b) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{3}}\" alt=\"\\mathbf{\\frac{2}{3}}\" align=\"absmiddle\" \/> of the triangles in box (b)<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u2234 9 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{3}&amp;space;=&amp;space;\\frac{18}{3}\" alt=\"\\frac{2}{3} = \\frac{18}{3}\" align=\"absmiddle\" \/>\u00a0= 6<\/span><\/p>\n<p><span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1684\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-2.2-Ans2b.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"141\" height=\"146\" \/><\/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}{5}}\" alt=\"\\mathbf{\\frac{3}{5}}\" align=\"absmiddle\" \/> of the squares in the box (c)<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u2234 15 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{5}&amp;space;=&amp;space;\\frac{45}{5}\" alt=\"\\frac{3}{5} = \\frac{45}{5}\" align=\"absmiddle\" \/>\u00a0= 9<\/span><\/p>\n<p><span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1685\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-2.2-Ans2c.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"209\" height=\"151\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>5. Find:<br \/>\n<\/strong><strong>(a) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{2}}\" alt=\"\\mathbf{\\frac{1}{2}}\" align=\"absmiddle\" \/> of (i) 24 (ii) 46<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(b) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{3}}\" alt=\"\\mathbf{\\frac{2}{3}}\" align=\"absmiddle\" \/> of (i) 18 (ii) 27<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(c) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{4}}\" alt=\"\\mathbf{\\frac{3}{4}}\" align=\"absmiddle\" \/> of (i) 16 (ii) 36<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(d) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{4}{5}}\" alt=\"\\mathbf{\\frac{4}{5}}\" align=\"absmiddle\" \/> of (i) 20 (ii) 35<\/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>(a) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{2}}\" alt=\"\\mathbf{\\frac{1}{2}}\" align=\"absmiddle\" \/> of (i) 24 (ii) 46<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) 24<br \/>\n<\/strong>We have,<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}\" alt=\"\\frac{1}{2}\" align=\"absmiddle\" \/> \u00d7 24 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{24}{2}\" alt=\"\\frac{24}{2}\" align=\"absmiddle\" \/> = 12<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) 46<br \/>\n<\/strong>We have,<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}\" alt=\"\\frac{1}{2}\" align=\"absmiddle\" \/> \u00d7 46 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{46}{2}\" alt=\"\\frac{46}{2}\" align=\"absmiddle\" \/> = 23<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(b) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{3}}\" alt=\"\\mathbf{\\frac{2}{3}}\" align=\"absmiddle\" \/> of (i) 18 (ii) 27<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(i) 18<br \/>\n<\/strong>We have,<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{3}\" alt=\"\\frac{2}{3}\" align=\"absmiddle\" \/> \u00d7 18 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{36}{3}\" alt=\"\\frac{36}{3}\" align=\"absmiddle\" \/> = 12<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(ii) 27<br \/>\n<\/strong>We have,<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{3}\" alt=\"\\frac{2}{3}\" align=\"absmiddle\" \/> \u00d7 27\u00a0= 2 \u00d7 9\u00a0= 18<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(c) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{4}}\" alt=\"\\mathbf{\\frac{3}{4}}\" align=\"absmiddle\" \/> of (i) 16 (ii) 36<br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) 16<\/strong><br \/>\nWe have,<br \/>\n= \u00be \u00d7 16 = 3 \u00d7 4 = 12<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) 36<br \/>\n<\/strong>We have<br \/>\n= \u00be \u00d7 36 = 3 \u00d7 9 = 27<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(d) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{4}{5}}\" alt=\"\\mathbf{\\frac{4}{5}}\" align=\"absmiddle\" \/> of (i) 20 (ii) 35<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(i) 20<br \/>\n<\/strong>We have,<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{5}\" alt=\"\\frac{4}{5}\" align=\"absmiddle\" \/> \u00d7 20 = 4 \u00d7 4 = 16<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) 35<br \/>\n<\/strong>We have,<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{5}\" alt=\"\\frac{4}{5}\" align=\"absmiddle\" \/> \u00d7 35\u00a0= 4 \u00d7 7\u00a0= 28<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>6. Multiply and express as a mixed fraction:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(a) 3 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{5\\frac{1}{5}}\" alt=\"\\mathbf{5\\frac{1}{5}}\" align=\"absmiddle\" \/>\u00a0<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(b) 5 \u00d7 6 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{4}}\" alt=\"\\mathbf{\\frac{3}{4}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(c) 7 \u00d7 2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{4}}\" alt=\"\\mathbf{\\frac{1}{4}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(d) 4 \u00d7 6 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{3}}\" alt=\"\\mathbf{\\frac{1}{3}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(e) 3 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{4}}\" alt=\"\\mathbf{\\frac{1}{4}}\" align=\"absmiddle\" \/> \u00d7 6<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(f) 3 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{5}}\" alt=\"\\mathbf{\\frac{2}{5}}\" align=\"absmiddle\" \/>\u00a0\u00d7 8<\/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>(a) 3 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{5\\frac{1}{5}}\" alt=\"\\mathbf{5\\frac{1}{5}}\" align=\"absmiddle\" \/>\u00a0<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">= 3 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{26}{5}\" alt=\"\\frac{26}{5}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{78}{5}\" alt=\"\\frac{78}{5}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?15\\frac{3}{5}\" alt=\"15\\frac{3}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(b) 5 \u00d7 6 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{4}}\" alt=\"\\mathbf{\\frac{3}{4}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">= 5 <strong>\u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{27}{4}\" alt=\"\\frac{27}{4}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{135}{4}\" alt=\"\\frac{135}{4}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?33\\frac{3}{4}\" alt=\"33\\frac{3}{4}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(c) 7 \u00d7 2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{4}}\" alt=\"\\mathbf{\\frac{1}{4}}\" align=\"absmiddle\" \/><br \/>\n<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">= 7 <strong>\u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{9}{4}\" alt=\"\\frac{9}{4}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{63}{4}&amp;space;=&amp;space;15\\frac{3}{4}\" alt=\"\\frac{63}{4} = 15\\frac{3}{4}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(d) 4 \u00d7 6 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{3}}\" alt=\"\\mathbf{\\frac{1}{3}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">= 4 \u00d7 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{19}{3}\" alt=\"\\frac{19}{3}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{76}{3}&amp;space;=&amp;space;25\\frac{1}{3}\" alt=\"\\frac{76}{3} = 25\\frac{1}{3}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(e) 3 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{4}}\" alt=\"\\mathbf{\\frac{1}{4}}\" align=\"absmiddle\" \/> \u00d7 6<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{13}{4}\" alt=\"\\frac{13}{4}\" align=\"absmiddle\" \/> \u00d7 6 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{13}{2}\" alt=\"\\frac{13}{2}\" align=\"absmiddle\" \/> \u00d7 3 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{39}{2}\" alt=\"\\frac{39}{2}\" align=\"absmiddle\" \/> = 19 <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;\"><strong>(f) 3 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{5}}\" alt=\"\\mathbf{\\frac{2}{5}}\" align=\"absmiddle\" \/>\u00a0\u00d7 8<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{17}{5}\" alt=\"\\frac{17}{5}\" align=\"absmiddle\" \/> \u00d7 8 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{136}{5}\" alt=\"\\frac{136}{5}\" align=\"absmiddle\" \/> = 27 <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;\"><strong>7. Find:<br \/>\n<\/strong><strong>(a) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{2}}\" alt=\"\\mathbf{\\frac{1}{2}}\" align=\"absmiddle\" \/> of (i) 2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{4}}\" alt=\"\\mathbf{\\frac{3}{4}}\" align=\"absmiddle\" \/> (ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{4\\frac{2}{9}}\" alt=\"\\mathbf{4\\frac{2}{9}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(b) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{8}}\" alt=\"\\mathbf{\\frac{5}{8}}\" align=\"absmiddle\" \/> of (i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{3\\frac{5}{6}}\" alt=\"\\mathbf{3\\frac{5}{6}}\" align=\"absmiddle\" \/> (ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{9\\frac{2}{3}}\" alt=\"\\mathbf{9\\frac{2}{3}}\" 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>(a) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{2}}\" alt=\"\\mathbf{\\frac{1}{2}}\" align=\"absmiddle\" \/> of (i) 2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{4}}\" alt=\"\\mathbf{\\frac{3}{4}}\" align=\"absmiddle\" \/> (ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{4\\frac{2}{9}}\" alt=\"\\mathbf{4\\frac{2}{9}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{2}}\" alt=\"\\mathbf{\\frac{1}{2}}\" align=\"absmiddle\" \/> of 2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{4}}\" alt=\"\\mathbf{\\frac{3}{4}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}&amp;space;\\times&amp;space;\\frac{11}{4}&amp;space;=&amp;space;\\frac{11}{8}\" alt=\"\\frac{1}{2} \\times \\frac{11}{4} = \\frac{11}{8}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?1\\frac{3}{8}\" alt=\"1\\frac{3}{8}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{2}}\" alt=\"\\mathbf{\\frac{1}{2}}\" align=\"absmiddle\" \/> of\u00a0 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{4\\frac{2}{9}}\" alt=\"\\mathbf{4\\frac{2}{9}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}&amp;space;\\times&amp;space;\\frac{38}{9}&amp;space;=&amp;space;\\frac{19}{9}\" alt=\"\\frac{1}{2} \\times \\frac{38}{9} = \\frac{19}{9}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?2\\frac{1}{9}\" alt=\"2\\frac{1}{9}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(b) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{8}}\" alt=\"\\mathbf{\\frac{5}{8}}\" align=\"absmiddle\" \/> of (i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{3\\frac{5}{6}}\" alt=\"\\mathbf{3\\frac{5}{6}}\" align=\"absmiddle\" \/> (ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{9\\frac{2}{3}}\" alt=\"\\mathbf{9\\frac{2}{3}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{8}}\" alt=\"\\mathbf{\\frac{5}{8}}\" align=\"absmiddle\" \/> of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{3\\frac{5}{6}}\" alt=\"\\mathbf{3\\frac{5}{6}}\" align=\"absmiddle\" \/> <\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">= <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{23}{6}\" alt=\"\\frac{23}{6}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{115}{48}\" alt=\"\\frac{115}{48}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?2\\frac{19}{48}\" alt=\"2\\frac{19}{48}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><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\" \/> of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{9\\frac{2}{3}}\" alt=\"\\mathbf{9\\frac{2}{3}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">= <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{29}{3}\" alt=\"\\frac{29}{3}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{145}{24}\" alt=\"\\frac{145}{24}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?6\\frac{1}{24}\" alt=\"6\\frac{1}{24}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>8. Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained 5 liters water. Vidya consumed <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{5}}\" alt=\"\\mathbf{\\frac{2}{5}}\" align=\"absmiddle\" \/>of the water. Pratap consumed the remaining water.<br \/>\n<\/strong><strong>(i) How much water did Vidya drink?<br \/>\n<\/strong><strong>(ii) What fraction of the total quantity of water did Pratap drink?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong><strong>(i)<\/strong> Amount of water in the water bottle = 5 liters<br \/>\nAmount of water consumed by Vidya = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{5}\" alt=\"\\frac{2}{5}\" align=\"absmiddle\" \/> of 5 liters<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{5}\" alt=\"\\frac{2}{5}\" align=\"absmiddle\" \/> \u00d7 5 = 2 liters<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">So, the total amount of water drank by Vidya is 2 liters<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) <\/strong>Amount of water in the water bottle = 5 liters<br \/>\nAmount of water consumed by Pratap = (1 \u2013 water consumed by Vidya)<br \/>\n= (1 \u2013 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{5}\" alt=\"\\frac{2}{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{5-2}{5}&amp;space;=&amp;space;\\frac{3}{5}\" alt=\"\\frac{5-2}{5} = \\frac{3}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">\u2234 Total amount of water consumed by Pratap = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{5}\" alt=\"\\frac{3}{5}\" align=\"absmiddle\" \/> of 5 liters<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{5}\" alt=\"\\frac{3}{5}\" align=\"absmiddle\" \/> \u00d7 5 = 3 liters<br \/>\nSo, the total amount of water drank by Pratap is 3 liters<\/span><\/p>\n<p style=\"text-align: justify;\">\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 7 Maths Chapter &#8211; 2 (Fractions and Decimals) The NCERT Solutions in English Language for Class 7 Mathematics Chapter &#8211; 2 Fractions and Decimals Exercise 2.2 has been provided here to help the students in solving the questions from this exercise. 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-1660","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 2.2 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"NCERT Solutions Class 7 MathsChapter - 2 (Fractions and Decimals)The NCERT Solutions in English Language for Class 7 Mathematics Chapter - 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