{"id":258751,"date":"2025-07-18T10:29:14","date_gmt":"2025-07-18T10:29:14","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=258751"},"modified":"2025-07-18T10:29:16","modified_gmt":"2025-07-18T10:29:16","slug":"write-three-equivalent-fractions-to-each-fraction-below","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/18\/write-three-equivalent-fractions-to-each-fraction-below\/","title":{"rendered":"Write three equivalent fractions to each fraction below"},"content":{"rendered":"\n
Write three equivalent fractions to each fraction below. 5_ 3 5 11 10<\/pre>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n
To find equivalent fractions for any given fraction, you multiply both the numerator and the denominator by the same non-zero number. This ensures the value of the fraction remains the same while changing its appearance. Let’s find three equivalent fractions for each of the given fractions.<\/p>\n\n\n\n
Fraction 1: 53\\frac{5}{3}35\u200b<\/h3>\n\n\n\n
To find equivalent fractions:<\/p>\n\n\n\n
    \n
  1. Multiply both the numerator and denominator by 2:
    5\u00d723\u00d72=106\\frac{5 \\times 2}{3 \\times 2} = \\frac{10}{6}3\u00d725\u00d72\u200b=610\u200b<\/li>\n\n\n\n
  2. Multiply both the numerator and denominator by 3:
    5\u00d733\u00d73=159\\frac{5 \\times 3}{3 \\times 3} = \\frac{15}{9}3\u00d735\u00d73\u200b=915\u200b<\/li>\n\n\n\n
  3. Multiply both the numerator and denominator by 4:
    5\u00d743\u00d74=2012\\frac{5 \\times 4}{3 \\times 4} = \\frac{20}{12}3\u00d745\u00d74\u200b=1220\u200b<\/li>\n<\/ol>\n\n\n\n
    So, the three equivalent fractions to 53\\frac{5}{3}35\u200b are:<\/p>\n\n\n\n
      \n
    • 106\\frac{10}{6}610\u200b<\/li>\n\n\n\n
    • 159\\frac{15}{9}915\u200b<\/li>\n\n\n\n
    • 2012\\frac{20}{12}1220\u200b<\/li>\n<\/ul>\n\n\n\n
      Fraction 2: 511\\frac{5}{11}115\u200b<\/h3>\n\n\n\n
      To find equivalent fractions:<\/p>\n\n\n\n
        \n
      1. Multiply both the numerator and denominator by 2:
        5\u00d7211\u00d72=1022\\frac{5 \\times 2}{11 \\times 2} = \\frac{10}{22}11\u00d725\u00d72\u200b=2210\u200b<\/li>\n\n\n\n
      2. Multiply both the numerator and denominator by 3:
        5\u00d7311\u00d73=1533\\frac{5 \\times 3}{11 \\times 3} = \\frac{15}{33}11\u00d735\u00d73\u200b=3315\u200b<\/li>\n\n\n\n
      3. Multiply both the numerator and denominator by 4:
        5\u00d7411\u00d74=2044\\frac{5 \\times 4}{11 \\times 4} = \\frac{20}{44}11\u00d745\u00d74\u200b=4420\u200b<\/li>\n<\/ol>\n\n\n\n
        So, the three equivalent fractions to 511\\frac{5}{11}115\u200b are:<\/p>\n\n\n\n
          \n
        • 1022\\frac{10}{22}2210\u200b<\/li>\n\n\n\n
        • 1533\\frac{15}{33}3315\u200b<\/li>\n\n\n\n
        • 2044\\frac{20}{44}4420\u200b<\/li>\n<\/ul>\n\n\n\n
          Fraction 3: 103\\frac{10}{3}310\u200b<\/h3>\n\n\n\n
          To find equivalent fractions:<\/p>\n\n\n\n
            \n
          1. Multiply both the numerator and denominator by 2:
            10\u00d723\u00d72=206\\frac{10 \\times 2}{3 \\times 2} = \\frac{20}{6}3\u00d7210\u00d72\u200b=620\u200b<\/li>\n\n\n\n
          2. Multiply both the numerator and denominator by 3:
            10\u00d733\u00d73=309\\frac{10 \\times 3}{3 \\times 3} = \\frac{30}{9}3\u00d7310\u00d73\u200b=930\u200b<\/li>\n\n\n\n
          3. Multiply both the numerator and denominator by 4:
            10\u00d743\u00d74=4012\\frac{10 \\times 4}{3 \\times 4} = \\frac{40}{12}3\u00d7410\u00d74\u200b=1240\u200b<\/li>\n<\/ol>\n\n\n\n
            So, the three equivalent fractions to 103\\frac{10}{3}310\u200b are:<\/p>\n\n\n\n
              \n
            • 206\\frac{20}{6}620\u200b<\/li>\n\n\n\n
            • 309\\frac{30}{9}930\u200b<\/li>\n\n\n\n
            • 4012\\frac{40}{12}1240\u200b<\/li>\n<\/ul>\n\n\n\n
              General Rule:<\/h3>\n\n\n\n
              To generate equivalent fractions, you multiply the numerator and denominator by any integer. For example, if you multiply by 5, you would get a new fraction, and the value would still be the same. The key to understanding equivalent fractions is recognizing that the ratio between the numerator and denominator remains constant. For example, 53\\frac{5}{3}35\u200b and 106\\frac{10}{6}610\u200b both represent the same quantity, even though they look different.<\/p>\n\n\n\n
              \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"
              Write three equivalent fractions to each fraction below. 5_ 3 5 11 10 The Correct Answer and Explanation is: To find equivalent fractions for any given fraction, you multiply both the numerator and the denominator by the same non-zero number. This ensures the value of the fraction remains the same while changing its appearance. Let’s […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-258751","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/258751","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=258751"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/258751\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=258751"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=258751"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=258751"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}