{"id":241993,"date":"2025-07-04T05:03:12","date_gmt":"2025-07-04T05:03:12","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=241993"},"modified":"2025-07-04T05:03:14","modified_gmt":"2025-07-04T05:03:14","slug":"name-two-equivalent-fractions-for-each-fraction","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/04\/name-two-equivalent-fractions-for-each-fraction\/","title":{"rendered":"Name two equivalent fractions for each fraction."},"content":{"rendered":"\n<p>Do You Remember? 1. Name two equivalent fractions for each fraction. 3 11 a) \\frac{3}{8} c) \\frac{11}{2} 2 9 b) 1\\frac{2}{3} d) \\frac{9}{12}<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/image-90.png\" alt=\"\" class=\"wp-image-241995\"\/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>Of course. Here are the answers and a detailed explanation for the math problems.<\/p>\n\n\n\n<p><strong>Correct Answers<\/strong><\/p>\n\n\n\n<p>Note that many correct answers are possible. Here are some examples:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>a) For 3\/8:<\/strong>\u00a0Two equivalent fractions are\u00a0<strong>6\/16<\/strong>\u00a0and\u00a0<strong>9\/24<\/strong>.<\/li>\n\n\n\n<li><strong>b) For 1 2\/3:<\/strong>\u00a0Two equivalent fractions are\u00a0<strong>10\/6<\/strong>\u00a0and\u00a0<strong>15\/9<\/strong>.<\/li>\n\n\n\n<li><strong>c) For 11\/2:<\/strong>\u00a0Two equivalent fractions are\u00a0<strong>22\/4<\/strong>\u00a0and\u00a0<strong>33\/6<\/strong>.<\/li>\n\n\n\n<li><strong>d) For 9\/12:<\/strong>\u00a0Two equivalent fractions are\u00a0<strong>3\/4<\/strong>\u00a0and\u00a0<strong>18\/24<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>Equivalent fractions are fractions that look different but represent the exact same value. The fundamental principle for finding an equivalent fraction is to multiply or divide both the numerator (the top number) and the denominator (the bottom number) by the same non-zero number. This method works because when you multiply or divide by a fraction like 2\/2, 3\/3, or 4\/4, you are essentially multiplying or dividing by 1, which does not change the fraction&#8217;s actual value.<\/p>\n\n\n\n<p>For problem&nbsp;<strong>a) 3\/8<\/strong>, we can find equivalent fractions by multiplication. If we multiply both the numerator and denominator by 2, we get (3 \u00d7 2) \/ (8 \u00d7 2), which equals&nbsp;<strong>6\/16<\/strong>. If we multiply them by 3, we get (3 \u00d7 3) \/ (8 \u00d7 3), resulting in&nbsp;<strong>9\/24<\/strong>.<\/p>\n\n\n\n<p>For problem&nbsp;<strong>b) 1 2\/3<\/strong>, the first step is to convert this mixed number into an improper fraction. To do this, multiply the whole number (1) by the denominator (3) and add the numerator (2). This gives us 5. The denominator remains 3, so the improper fraction is 5\/3. Now we can find equivalent fractions for 5\/3. Multiplying by 2 gives us&nbsp;<strong>10\/6<\/strong>, and multiplying by 3 gives us&nbsp;<strong>15\/9<\/strong>.<\/p>\n\n\n\n<p>For problem&nbsp;<strong>c) 11\/2<\/strong>, we apply the same multiplication rule. Multiplying the numerator and denominator by 2 gives us (11 \u00d7 2) \/ (2 \u00d7 2), which is&nbsp;<strong>22\/4<\/strong>. Multiplying by 3 gives us (11 \u00d7 3) \/ (2 \u00d7 3), or&nbsp;<strong>33\/6<\/strong>.<\/p>\n\n\n\n<p>Problem&nbsp;<strong>d) 9\/12<\/strong>&nbsp;offers a chance to use both division and multiplication. We can simplify this fraction by finding a common factor for 9 and 12, which is 3. Dividing both parts by 3 gives us (9 \u00f7 3) \/ (12 \u00f7 3), which equals&nbsp;<strong>3\/4<\/strong>. This is an equivalent fraction in its simplest form. For a second equivalent fraction, we can multiply the original 9\/12 by 2 to get&nbsp;<strong>18\/24<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-202.jpeg\" alt=\"\" class=\"wp-image-241996\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Do You Remember? 1. Name two equivalent fractions for each fraction. 3 11 a) \\frac{3}{8} c) \\frac{11}{2} 2 9 b) 1\\frac{2}{3} d) \\frac{9}{12} The Correct Answer and Explanation is: Of course. Here are the answers and a detailed explanation for the math problems. Correct Answers Note that many correct answers are possible. Here are some [&hellip;]<\/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-241993","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/241993","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=241993"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/241993\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=241993"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=241993"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=241993"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}