{"id":311,"date":"2022-08-11T05:34:48","date_gmt":"2022-08-11T05:34:48","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=311"},"modified":"2024-02-21T06:11:54","modified_gmt":"2024-02-21T06:11:54","slug":"ncert-solutions-class-6-maths-chapter-7-fractions-ex-7-3","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-7-fractions-ex-7-3\/","title":{"rendered":"NCERT Solutions Class 6 Maths Chapter 7 Fractions Ex 7.3"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">NCERT Solutions Class 6 Maths<\/span><\/strong><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Chapter &#8211; 7 (Fractions)<\/span><\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 6 Mathematics <strong>Chapter &#8211; 7 Fractions <\/strong>Exercise 7.3 has been provided here to help the students in solving the questions from this exercise.<\/span><\/p>\n<h4 id=\"chapter-7\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span id=\"Chapter_7_Fractions\" style=\"color: #000000;\">Chapter 7: Fractions<\/span><\/strong><\/span><\/h4>\n<ul>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-7-fractions-ex-7-1\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 7.1<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-7-fractions-ex-7-2\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 7.2<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-7-fractions-ex-7-4\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 7.4<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-7-fractions-ex-7-5\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 7.5<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-7-fractions-ex-7-6\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 7.6<\/a><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Exercise &#8211; 7.3<\/span><\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>1. Write the fractions. Are all these fractions equivalent?<br \/>\n(a)<\/strong> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-355\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.3Q1A.png\" alt=\"NCERT Class 6 Math Solution\" width=\"441\" height=\"101\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.3Q1A.png 1279w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.3Q1A-300x69.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.3Q1A-1024x235.png 1024w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.3Q1A-768x176.png 768w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.3Q1A-480x110.png 480w\" sizes=\"auto, (max-width: 441px) 100vw, 441px\" \/><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(b) <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-356\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.3Q1b.png\" alt=\"NCERT Class 6 Math Solution\" width=\"523\" height=\"83\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.3Q1b.png 1858w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.3Q1b-300x47.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.3Q1b-1024x162.png 1024w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.3Q1b-768x122.png 768w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.3Q1b-1536x243.png 1536w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.3Q1b-480x76.png 480w\" sizes=\"auto, (max-width: 523px) 100vw, 523px\" \/><\/strong>\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a)<br \/>\n<\/strong>(i) The shaded portion is <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{1}{2}\" \/><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(ii) The shaded portion is <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{2}{4}%20=%20\\frac{2\\div%202}{4\\div%202}%20=%20\\frac{1}{2}\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><br \/>\n(iii) The shaded portion is <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{3}{6}%20=%20\\frac{3\\div%203}{6\\div%203}%20=%20\\frac{1}{2}\" \/><\/p>\n<p>(iv) The shaded portion is <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{4}{8}%20=%20\\frac{4\\div%204}{8\\div%204}%20=%20\\frac{1}{2}\" \/><br \/>\nHence, all fractions are equivalent.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b)<br \/>\n<\/strong>(i) The shaded portion is <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{4}{12}%20=%20\\frac{4\\div%204}{12\\div%204}%20=%20\\frac{1}{3}\" \/><\/p>\n<p>(ii)The shaded portion is <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{3}{9}%20=%20\\frac{3\\div%203}{9\\div%203}%20=%20\\frac{1}{3}\" \/><\/p>\n<p>(iii) The shaded portion is <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{2}{6}%20=%20\\frac{2\\div%202}{6\\div%202}%20=%20\\frac{1}{3}\" \/><\/p>\n<p>(iv) The shaded portion is <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{1}{3}\" \/><\/p>\n<p>(v) The shaded portion is <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{6}{15}%20=%20\\frac{6\\div%203}{15\\div%203}%20=%20\\frac{2}{5}\" \/><br \/>\nAll the fractions in their simplest form are not equal.<br \/>\nHence, they are not equivalent fractions.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>2. Write the fractions and pair up the equivalent fractions from each row.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-357\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.3Q2.png\" alt=\"NCERT Class 6 Math Solution\" width=\"634\" height=\"305\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.3Q2.png 726w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.3Q2-300x144.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.3Q2-480x231.png 480w\" sizes=\"auto, (max-width: 634px) 100vw, 634px\" \/><br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-358\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.3Q2A.png\" alt=\"NCERT Class 6 Math Solution\" width=\"614\" height=\"295\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.3Q2A.png 726w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.3Q2A-300x144.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-7.3Q2A-480x231.png 480w\" sizes=\"auto, (max-width: 614px) 100vw, 614px\" \/><\/span><\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(a) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{1}{2}\" \/><\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(ii) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{4}{8}%20=%20\\frac{4\\div%204}{8\\div%204}%20=%20\\frac{1}{2}\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">(b) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{4}{6}%20=%20\\frac{4\\div%202}{6\\div%202}%20=%20\\frac{2}{3}\" \/><\/span><span style=\"color: #000000;\"><br \/>\n<\/span><\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(iv) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{8}{12}%20=%20\\frac{8\\div%204}{12\\div%204}%20=%20\\frac{2}{3}\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">(c) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{3}{9}%20=%20\\frac{3\\div%203}{9\\div%203}%20=%20\\frac{1}{3}\" \/><\/span><span style=\"color: #000000;\"><br \/>\n<\/span><\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(i) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{6}{18}%20=%20\\frac{6\\div%206}{18\\div%206}%20=%20\\frac{1}{3}\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">(d) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{2}{8}%20=%20\\frac{2\\div%202}{8\\div%202}%20=%20\\frac{1}{4}\" \/><\/span><span style=\"color: #000000;\"><br \/>\n<\/span><\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(v) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{4}{16}%20=%20\\frac{4\\div%204}{16\\div%204}%20=%20\\frac{1}{4}\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">(e) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{3}{4}\" \/>\u00a0<\/span><span style=\"color: #000000;\"><br \/>\n<\/span><\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(iii) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{12}{16}%20=%20\\frac{12\\div%204}{16\\div%204}%20=%20\\frac{3}{4}\" \/><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>3. Replace\u00a0<\/strong>\u2610<strong>\u00a0in each of the following by the correct number:<br \/>\n<\/strong>(a) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{2}{7}%20=%20\\frac{8}{\\square%20}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(b) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{5}{8}%20=%20\\frac{10}{\\square%20}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(c) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{3}{5}%20=%20\\frac{\\square%20}{20}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(d) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{45}{60}%20=%20\\frac{15}{\\square}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(e) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{18}{24}%20=%20\\frac{\\square}{4}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>(a)<\/strong>\u00a0Given<br \/>\n<\/span><span style=\"color: #000000;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{2}{7}%20=%20\\frac{8}{\\square%20}\" \/><br \/>\n2 \u00d7 \u2610 = 7 \u00d7 8<br \/>\n<img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\square%20=%20\\frac{7\\times%208}{2}%20=%20\\frac{7\\times%208%20\\div%202}{2\\div%202}=%207\\times%204\" \/><\/span><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">= 28<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b)<\/strong> Given<br \/>\n<img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{5}{8}%20=%20\\frac{10}{\\square%20}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\square%20=%20\\frac{8\\times%2010}{5}%20=%20\\frac{8\\times%2010%20\\div%205}{5\\div%205}=%208\\times%202\" \/><br \/>\n= 16<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>(c)<\/strong> Given<br \/>\n<\/span><span style=\"color: #000000;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{3}{5}%20=%20\\frac{\\square%20}{20}\" \/><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">3 \u00d7 20 = \u2610 x 5<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\square%20=%20\\frac{3\\times%2020}{5}%20=%20\\frac{3\\times%2020%20\\div%205}{5\\div%205}=%203\\times%204\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 12<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>(d)<\/strong> Given<br \/>\n<\/span><span style=\"color: #000000;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{45}{60}%20=%20\\frac{15}{\\square}\" \/><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">45 x \u2610 = 15 \u00d7 60\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\square%20=%20\\frac{15\\times%2060}{45}%20=%20\\frac{15\\times%2060%20\\div%2015}{45\\div%2015}=%20\\frac{60}{3}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\square%20=%20\\frac{60%20\\div%203}{3%20\\div%203}\" \/><br \/>\n= 20<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>(e)<\/strong> Given<br \/>\n<\/span><span style=\"color: #000000;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{18}{24}%20=%20\\frac{\\square}{4}\" \/><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">18 \u00d7 4 = \u2610 x 24\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\square%20=%20\\frac{18%20\\times%204}{24}=%20%20%20\\frac{18%20\\times%204%20\\div%204}{24\\div%204}\" \/><br \/>\n<img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\square%20=%20\\frac{18}{6}%20=%20\\frac{18\\div%206}{6\\div%206}\" \/><br \/>\n= 3<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>4. Find the equivalent fraction of <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\mathbf{\\frac{3}{5}}\" \/> having<br \/>\n<\/strong>(a) denominator 20<br \/>\n(b) numerator 9<br \/>\n(c) denominator 30<br \/>\n(d) numerator 27<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a)\u00a0<\/strong>We require denominator 20<br \/>\n<img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{\\square%20}{20}%20=%20\\frac{3}{5}%20\\Rightarrow%20\\square%20%20=%20\\frac{3%20\\times%2020}{5}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\square%20%20=%20\\frac{3%20\\times%2020%20\\div%205}{5\\div5}%20%20\\Rightarrow%20%203\\times%204\" \/><br \/>\n= 12<br \/>\n<strong>Therefore the required fraction is <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{12}{20}\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b)<\/strong> We require numerator 9<br \/>\nLet \u2610 be the denominator of the fractions<br \/>\n<img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\therefore%20\\frac{9}{\\square}%20=%20\\frac{3}{5}%20\\Rightarrow%20\\square%20\\times%203%20=%209%20\\times%205\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\square%20%20=%20\\frac{9%20\\times%205%20\\div%203}{3\\div3}%20%20\\Rightarrow%20%203\\times%205\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 15<br \/>\n<strong>Therefore the required fraction is <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{9}{15}\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c)<\/strong> We require denominator 30<br \/>\nLet \u2610 be the numerator of the fraction<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\therefore%20%20\\frac{\\square%20}{30}%20=%20\\frac{3}{5}%20\\Rightarrow%20\\square%20%20=%20\\frac{3%20\\times%2030}{5}\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\square%20%20=%20\\frac{3%20\\times%2030%20\\div%205}{5\\div5}%20%20\\Rightarrow%20%203\\times%206\" \/><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">= 18<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Therefore the required fraction is <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{18}{30}\" \/><\/span><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d)<\/strong> We require numerator 27<br \/>\nLet \u2610 be the denominator of the fraction<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{27}{\\square}%20=%20\\frac{3}{5}%20\\Rightarrow%20\\square%20%20\\times%203%20=%2027%20\\times%205\" \/><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\square%20%20=%20\\frac{27%20\\times%205%20\\div%203}{3\\div3}%20%20\\Rightarrow%20%209\\times%205\" \/><br \/>\n= 45<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Therefore the required fraction is <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{27}{45}\" \/><\/span><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>5. Find the equivalent fraction of <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\mathbf{\\frac{36}{48}}\" \/> with<br \/>\n<\/strong>(a) numerator 9<br \/>\n(b) denominator 4<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a)<\/strong> Given numerator = 9<br \/>\n<img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\therefore%20\\frac{9}{A}%20=%20\\frac{36}{48}\\Rightarrow%20A%20\\times%2036%20=%209%20\\times%2048\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}%20A%20=%20\\frac{9%20\\times%2048}{36}%20\\Rightarrow%20\\frac{9%20\\times%2048%20\\div%2012}{36%20\\div%2012}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}%20A%20=%20\\frac{9%20\\times%204}{3}%20\\Rightarrow%20\\frac{9%20\\times%204%20\\div%203}{3%20\\div%203}\" \/><br \/>\nA = 3 x 4<br \/>\nA = 12<br \/>\nHence, the equivalent fraction is <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{9}{12}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(b)<\/strong> Given, denominator = 4<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\therefore%20\\frac{N}{4}%20=%20\\frac{36}{48}\\Rightarrow%20N%20\\times%2048%20=%204%20\\times%2036\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}N%20=%20\\frac{4%20\\times%2036}{48}%20\\Rightarrow%20\\frac{4%20\\times%2036%20\\div%2012}{48%20\\div%2012}%20\\Rightarrow%20\\frac{4%20\\times%203}{4}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}N%20=%20\\frac{4%20\\times%203%20\\div%204}{4%20\\div%204}\" \/><br \/>\nN = 3<br \/>\nHence, the equivalent fraction is <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{3}{4}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>6. Check whether the given fractions are equivalent:<br \/>\n<\/strong>(a) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{5}{9},%20\\frac{30}{54}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(b) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{3}{10},%20\\frac{12}{50}\" \/><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(c) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{7}{13},%20\\frac{5}{11}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(a)<\/strong> Given <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{5}{9}\" \/> and <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{30}{54}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">We have 5<strong>\u00a0<\/strong>\u00d7 54 = 270<br \/>\n9 \u00d7 30 = 270<br \/>\n270 = 270<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">Hence, <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{5}{9}\" \/> and <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{30}{54}\" \/>\u00a0 are equivalent fractions<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(b)<\/strong> Given <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{3}{10}\" \/> and <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/svg.image?\\frac{12}{50}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">We have 3 \u00d7 50 = 150<br \/>\n10 \u00d7 12 = 120<br \/>\n150 \u2260 120<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">Hence, <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{3}{10}\" \/> and <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/svg.image?\\frac{12}{50}\" \/> are not equivalent fractions<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(c)<\/strong> Given <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{7}{13}\" \/> and <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{5}{11}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">We have 7 \u00d7 11 = 77<br \/>\n5 \u00d7 13 = 65<br \/>\n77 \u2260 65<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">Hence, <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{7}{13}\" \/>\u00a0 and <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{5}{11}\" \/> are not equivalent fractions<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>7. Reduce the following fractions to simplest form:<br \/>\n<\/strong>(a) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{48}{60}\" \/><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(b) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{150}{60}\" \/><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(c) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{84}{98}\" \/><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(d) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{12}{52}\" \/><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(e) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{7}{28}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(a)<\/strong> <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{48}{60}%20=%20\\frac{12%20\\times%204}{12%20\\times%205}%20=%20\\frac{4}{5}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(b)<\/strong> <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{150}{60}%20=%20\\frac{30%20\\times%205}{30%20\\times%202}%20=%20\\frac{5}{2}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(c)<\/strong> <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{84}{98}%20=%20\\frac{14%20\\times%206}{14%20\\times%207}%20=%20\\frac{6}{7}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(d)<\/strong> <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{12}{52}%20=%20\\frac{4%20\\times%203}{4%20\\times%2013}%20=%20\\frac{3}{13}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(e)<\/strong> <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{7}{28}%20=%20\\frac{7%20\\times%201}{7%20\\times%204}%20=%20\\frac{1}{4}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>8. Ramesh had 20 pencils, Sheelu had 50 pencils and Jamaal had 80 pencils. After 4 months, Ramesh used up 10 pencils, Sheelu used up 25 pencils and Jamaal used up 40 pencils. What fraction did each use up? Check if each has used up an equal fraction of her\/his pencils?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Total number of pencils Ramesh had = 20<br \/>\nNumber of pencils used by Ramesh = 10<br \/>\n\u2234 Fraction = <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{10}{20}%20=%20\\frac{1}{2}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Total number of pencils Sheelu had = 50<br \/>\nNumber of pencils used by Sheelu = 25<br \/>\n\u2234 Fraction = <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{25}{50}%20=%20\\frac{1}{2}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Total number of pencils Jamaal had = 80<br \/>\nNumber of pencils used by Jamaal = 40<br \/>\n\u2234 Fraction = <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{40}{80}%20=%20\\frac{1}{2}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">Yes, each has used up an equal fraction of pencils i.e <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{1}{2}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>9. Match the equivalent fractions and write two more for each.<br \/>\n<\/strong><\/span><\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(i) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{250}{400}\" \/>\u00a0<\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(a) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{2}{3}\" \/><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">(ii) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{180}{200}\" \/>\u00a0<\/span><\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">(b) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{2}{5}\" \/><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">(iii) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{660}{990}\" \/><\/span><\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">(c) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{1}{2}\" \/><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">(iv) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{180}{360}\" \/>\u00a0<\/span><\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">(d) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{5}{8}\" \/><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">(v) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{220}{550}\" \/>\u00a0<\/span><\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">(e) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{9}{10}\" \/><\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(i) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{250}{400}%20=%20\\frac{50%20\\times%205}{50%20\\times%208}=%20\\frac{5}{8}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{10}{16}%20and%20\\frac{15}{24}\" \/>\u00a0 are two more fractions<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(ii) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{180}{200}%20=%20\\frac{20%20\\times%209}{20%20\\times%2010}=%20\\frac{9}{10}\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{18}{20}%20and%20\\frac{27}{30}\" \/> are two more fractions<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(iii) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{660}{990}%20=%20\\frac{330%20\\times%202}{330%20\\times%203}=%20\\frac{2}{3}\" \/>\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}%20\\frac{200}{300}%20and%20%20\\frac{400}{600}\" \/> are two more fractions<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(iv) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{180}{360}%20=%20\\frac{180%20\\times%201}{180%20\\times%202}=%20\\frac{1}{2}\" \/>\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{20}{40}and%20\\frac{30}{60}\" \/>\u00a0 are two more fractions<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(v) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{220}{550}%20=%20\\frac{110%20\\times%202}{110%20\\times%205}=%20\\frac{2}{5}\" \/>\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{20}{50}%20and%20\\frac{200}{500}\" \/> are two more fractions<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>\u2234 The equivalent fractions are<\/strong><\/span><\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(i) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{250}{400}\" \/>\u00a0<\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">(d) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{5}{8}\" \/>\u00a0<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">(ii) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{180}{200}\" \/>\u00a0<\/span><\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">(e) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{9}{10}\" \/>\u00a0<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">(iii) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{660}{990}\" \/><\/span><\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">(a) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{2}{3}\" \/>\u00a0<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">(iv) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{180}{360}\" \/>\u00a0<\/span><\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">(c) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{1}{2}\" \/><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">(v) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{220}{550}\" \/>\u00a0<\/span><\/span><\/td>\n<td style=\"width: 50%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">(b) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/gif.image?\\dpi{110}\\frac{2}{5}\" \/><\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 100%; background-color: #f2e079; text-align: center;\"><span style=\"color: #000000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong>NCERT Class 6<sup>th\u00a0<\/sup>Solution\u00a0<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-english\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 English\u201d (Edit)\">NCERT Solutions Class 6 English<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-hindi\/\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 6 Hindi<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 6 Maths<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-sanskrit\/\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\">NCERT Solutions Class 6 Sanskrit<\/span><\/strong><\/span><\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 6 Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-social-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 6 Social Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 6 Maths Chapter &#8211; 7 (Fractions) The NCERT Solutions in English Language for Class 6 Mathematics Chapter &#8211; 7 Fractions Exercise 7.3 has been provided here to help the students in solving the questions from this exercise. Chapter 7: Fractions NCERT Solution Class 6 Maths Exercise &#8211; 7.1 NCERT Solution Class 6 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[16,17,4,5],"class_list":["post-311","post","type-post","status-publish","format-standard","hentry","category-class-6-maths","tag-chapter-7-fractions-in-english","tag-ncert-solutions-class-6-maths-chapter-7-in-english","tag-ncert-solutions-class-6-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 6 Maths Chapter 7 Fractions Ex 7.3 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 7 Fractions Exercise 7.3 has been provided here to help the students in solving the questions from this exercise.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-7-fractions-ex-7-3\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions Class 6 Maths Chapter 7 Fractions Ex 7.3\" \/>\n<meta property=\"og:description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 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