{"id":150171,"date":"2024-10-08T13:06:31","date_gmt":"2024-10-08T13:06:31","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=150171"},"modified":"2024-10-08T13:08:14","modified_gmt":"2024-10-08T13:08:14","slug":"write-5-6-as-an-equivalent-fraction-with-a-denominator-of-12","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/08\/write-5-6-as-an-equivalent-fraction-with-a-denominator-of-12\/","title":{"rendered":"Write 5\/6 as an equivalent fraction with a denominator of 12"},"content":{"rendered":"\n<p>Write 5\/6 as an equivalent fraction with a denominator of 12.<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>The correct answer is: <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-3-color\"><strong>( \\frac{10}{12} ) <\/strong><\/mark><\/p>\n\n\n\n<p>To convert the fraction ( \\frac{5}{6} ) into an equivalent fraction with a denominator of 12, we need to find a fraction that represents the same value but has a denominator of 12 instead of 6.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Understand Equivalent Fractions<\/h3>\n\n\n\n<p>Equivalent fractions are fractions that may look different but represent the same value or proportion of a whole. For instance, ( \\frac{1}{2} ) and ( \\frac{2}{4} ) are equivalent because they both represent half of a whole.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Determine the Conversion<\/h3>\n\n\n\n<p>To find an equivalent fraction, we can use the following formula:<\/p>\n\n\n\n<p>[<br>\\text{Equivalent Fraction} = \\frac{a \\times n}{b \\times n}<br>]<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( \\frac{a}{b} ) is the original fraction (in this case, ( \\frac{5}{6} )),<\/li>\n\n\n\n<li>( n ) is the number we multiply the numerator and denominator by to get the desired denominator.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Identify the Multiplier<\/h3>\n\n\n\n<p>Here, our original denominator is 6, and we want to convert it to 12. We can find the multiplier by dividing the new denominator (12) by the original denominator (6):<\/p>\n\n\n\n<p>[<br>n = \\frac{12}{6} = 2<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Apply the Multiplier<\/h3>\n\n\n\n<p>Now that we have our multiplier, we can find the equivalent fraction:<\/p>\n\n\n\n<p>[<br>\\text{Numerator} = 5 \\times 2 = 10<br>]<br>[<br>\\text{Denominator} = 6 \\times 2 = 12<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>Thus, ( \\frac{5}{6} ) is equivalent to ( \\frac{10}{12} ). To verify, we can simplify ( \\frac{10}{12} ) by dividing both the numerator and the denominator by their greatest common divisor, which is 2:<\/p>\n\n\n\n<p>[<br>\\frac{10 \\div 2}{12 \\div 2} = \\frac{5}{6}<br>]<\/p>\n\n\n\n<p>This confirms that ( \\frac{10}{12} ) is indeed equivalent to ( \\frac{5}{6} ), demonstrating that we have successfully converted the fraction to have a denominator of 12.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write 5\/6 as an equivalent fraction with a denominator of 12. The Correct Answer and Explanation is : The correct answer is: ( \\frac{10}{12} ) To convert the fraction ( \\frac{5}{6} ) into an equivalent fraction with a denominator of 12, we need to find a fraction that represents the same value but has a [&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-150171","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/150171","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=150171"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/150171\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=150171"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=150171"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=150171"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}