{"id":4354,"date":"2020-12-02T10:10:24","date_gmt":"2020-12-02T04:40:24","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=4354"},"modified":"2020-12-02T11:25:09","modified_gmt":"2020-12-02T05:55:09","slug":"equivalent-fraction","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/equivalent-fraction\/","title":{"rendered":"What is an Equivalent Fraction"},"content":{"rendered":"<h2><strong>What is an Equivalent Fraction<\/strong><\/h2>\n<h3><strong>Equivalent <a href=\"https:\/\/cbselibrary.com\/fraction-types-fractions\/\">Fraction<\/a><\/strong><\/h3>\n<p><iframe loading=\"lazy\" title=\"Equivalent fractions\" width=\"1200\" height=\"900\" src=\"https:\/\/www.youtube.com\/embed\/mU5249bHGuc?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<p>To understand the concept of equivalent fractions, let us take an example &#8211; Rama gave four cakes to his four children. The first child cut his cake into two equal halves and ate the first half. The second child cut his cake into four equal parts and ate two pieces out of four. The third child cut his cake into six equal parts and ate three of them, and the fourth child cut the cake into eight equal pieces and ate four of them.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118359 aligncenter\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/04\/What-is-an-Equivalent-Fraction-1.png\" alt=\"What is an Equivalent Fraction 1\" width=\"377\" height=\"141\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/04\/What-is-an-Equivalent-Fraction-1.png 377w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/04\/What-is-an-Equivalent-Fraction-1-300x112.png 300w\" sizes=\"(max-width: 377px) 100vw, 377px\" \/><br \/>\nDo you think, they have eaten equal parts of the cake? Yes.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118362\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/04\/What-is-an-Equivalent-Fraction-2.png\" alt=\"What is an Equivalent Fraction 2\" width=\"419\" height=\"244\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/04\/What-is-an-Equivalent-Fraction-2.png 419w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/04\/What-is-an-Equivalent-Fraction-2-300x175.png 300w\" sizes=\"(max-width: 419px) 100vw, 419px\" \/><br \/>\nThis means they all ate \\(\\frac{1}{2}\\) of the cake. Thus, fractions \\(\\frac{1}{2}\\), \\(\\frac{2}{4}\\), \\(\\frac{3}{6}\\), \\(\\frac{4}{8}\\) represent the same fraction \\(\\frac{1}{2}\\). These are called equivalent fractions. So, two or more fractions representing the same part (value) of the whole are called equivalent fractions.<br \/>\nTo check if the fractions are equivalent or not, we do cross-multiplication.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118363\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/04\/What-is-an-Equivalent-Fraction-3.png\" alt=\"What is an Equivalent Fraction 3\" width=\"304\" height=\"176\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/04\/What-is-an-Equivalent-Fraction-3.png 304w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/04\/What-is-an-Equivalent-Fraction-3-300x174.png 300w\" sizes=\"(max-width: 304px) 100vw, 304px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118364\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/04\/What-is-an-Equivalent-Fraction-4.png\" alt=\"What is an Equivalent Fraction 4\" width=\"1068\" height=\"800\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/04\/What-is-an-Equivalent-Fraction-4.png 1068w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/04\/What-is-an-Equivalent-Fraction-4-300x225.png 300w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/04\/What-is-an-Equivalent-Fraction-4-768x575.png 768w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/04\/What-is-an-Equivalent-Fraction-4-1024x767.png 1024w\" sizes=\"(max-width: 1068px) 100vw, 1068px\" \/><\/p>\n<p><strong>Read More:<\/strong><\/p>\n<ul>\n<li><a href=\"https:\/\/cbselibrary.com\/comparing-ordering-fractions\/\">Comparing and Ordering of Fractions<\/a><\/li>\n<li><a href=\"https:\/\/cbselibrary.com\/convert-fractions-decimals-vice-versa\/\">Conversion of Decimal into Fraction<\/a><\/li>\n<li><a href=\"https:\/\/cbselibrary.com\/operations-fractions\/\">Operations on Fractions<\/a><\/li>\n<li><a href=\"https:\/\/cbselibrary.com\/fraction-rs-aggarwal-class-6-maths-solutions-exercise-5a\/\">RS Aggarwal Class 6 Solutions Fractions<\/a><\/li>\n<li><a href=\"https:\/\/cbselibrary.com\/fractions-rs-aggarwal-class-7-math-solutions-exercise-1a\/\">RS Aggarwal Class 7\u00a0Solutions Fractions<\/a><\/li>\n<\/ul>\n<p><strong>Note:<\/strong><br \/>\nWe can get as many equivalent fractions as we want, by multiplying\/dividing the numerator and denominator of the given fraction by the same number.<\/p>\n<p><strong>Example 1:<\/strong> Write five equivalent fractions of \\(\\frac{3}{5}\\)<br \/>\n<strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118367\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/04\/What-is-an-Equivalent-Fraction-5.png\" alt=\"What is an Equivalent Fraction 5\" width=\"332\" height=\"119\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/04\/What-is-an-Equivalent-Fraction-5.png 332w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/04\/What-is-an-Equivalent-Fraction-5-300x108.png 300w\" sizes=\"(max-width: 332px) 100vw, 332px\" \/><br \/>\nHence, the five equivalent fractions of \\(\\frac{3}{5}\\) are<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118368\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/04\/What-is-an-Equivalent-Fraction-6.png\" alt=\"What is an Equivalent Fraction 6\" width=\"204\" height=\"59\" \/><\/p>\n<p><strong>Example 2:<\/strong> Which ofthefollowing pairs of fractions are equivalent:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118369\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/04\/What-is-an-Equivalent-Fraction-7.png\" alt=\"What is an Equivalent Fraction 7\" width=\"290\" height=\"63\" \/><br \/>\n<strong>Solution:<\/strong><br \/>\n(i) By cross-multiplying the terms of the fractions,<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118370\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/04\/What-is-an-Equivalent-Fraction-8.png\" alt=\"What is an Equivalent Fraction 8\" width=\"115\" height=\"65\" \/><br \/>\n5 \u00d7 72 = 12 \u00d7 30<br \/>\n360 = 360<br \/>\n\u2234 \u00a0 \\(\\frac{5}{12}\\) is equivalent to \\(\\frac{30}{72}\\)<br \/>\n(ii) By cross-multiplying the terms of the fractions,<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118371\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/04\/What-is-an-Equivalent-Fraction-9.png\" alt=\"What is an Equivalent Fraction 9\" width=\"143\" height=\"123\" \/><br \/>\n\u2234 \u00a0 \\(\\frac{6}{7}\\) is equivalent to \\(\\frac{12}{14}\\)<\/p>\n<h3><strong>Simplest Form of a <a href=\"https:\/\/cbselibrary.com\/fraction-types-fractions\/\">Fraction<\/a><\/strong><\/h3>\n<p>A fraction is said to be in the lowest term or the simplest form, if its numerator and denominator do not have any common factor other than 1.<\/p>\n<p><strong>Methods to reduce a fraction into the simplest form:<\/strong><br \/>\n(i) Find the HCF of the numerator and the yg denominator of the given fraction.<br \/>\n(ii) Divide its numerator and denominator by\u00a0their HCF.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-118372\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/04\/What-is-an-Equivalent-Fraction-10.png\" alt=\"What is an Equivalent Fraction 10\" width=\"139\" height=\"66\" \/><br \/>\n<strong>Example:<\/strong> \\(\\frac{162}{90}\\)<br \/>\nHCF of 162 and 90 = 18<br \/>\nDividing the numerator and denominator of the fraction by their HCF,<br \/>\nSo, \\(\\frac{9}{5}\\) is the lowest form of the given fraction because common factor of 9 and 5 is only 1.<\/p>\n<p><a class=\"button-red\" title=\"Maths\" href=\"https:\/\/cbselibrary.com\/maths\/\">Maths<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is an Equivalent Fraction Equivalent Fraction To understand the concept of equivalent fractions, let us take an example &#8211; Rama gave four cakes to his four children. The first child cut his cake into two equal halves and ate the first half. The second child cut his cake into four equal parts and ate &#8230; <a title=\"What is an Equivalent Fraction\" class=\"read-more\" href=\"https:\/\/cbselibrary.com\/equivalent-fraction\/\" aria-label=\"More on What is an Equivalent Fraction\">Read more<\/a><\/p>\n","protected":false},"author":8,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5],"tags":[2413,55912,55948,2414],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.8 (Yoast SEO v18.4.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What is an Equivalent Fraction - CBSE Library<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/cbselibrary.com\/equivalent-fraction\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What is an Equivalent Fraction\" \/>\n<meta property=\"og:description\" content=\"What is an Equivalent Fraction Equivalent Fraction To understand the concept of equivalent fractions, let us take an example &#8211; Rama gave four cakes to his four children. 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