{"id":167766,"date":"2024-11-16T07:16:36","date_gmt":"2024-11-16T07:16:36","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=167766"},"modified":"2024-11-16T07:17:07","modified_gmt":"2024-11-16T07:17:07","slug":"3-4-x-12-im-having-a-hard-time-multiplying-fractions","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/16\/3-4-x-12-im-having-a-hard-time-multiplying-fractions\/","title":{"rendered":"3\/4 x 12"},"content":{"rendered":"\n<p>3\/4 x 12 <\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To solve the problem ( \\frac{3}{4} \\times 12 ), let&#8217;s break it down step by step.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Understand the Problem<\/h3>\n\n\n\n<p>The expression involves multiplying a fraction (( \\frac{3}{4} )) by a whole number (12). When multiplying a fraction by a whole number, you treat the whole number as a fraction by writing it over 1. So, 12 can be rewritten as ( \\frac{12}{1} ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Set Up the Multiplication<\/h3>\n\n\n\n<p>Now, we can set up the multiplication:<br>[<br>\\frac{3}{4} \\times \\frac{12}{1}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Multiply the Numerators and Denominators<\/h3>\n\n\n\n<p>To multiply fractions, you multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together. So for our example:<br>[<br>\\text{Numerator: } 3 \\times 12 = 36<br>]<br>[<br>\\text{Denominator: } 4 \\times 1 = 4<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Simplify the Fraction<\/h3>\n\n\n\n<p>Now that we have the fraction ( \\frac{36}{4} ), we simplify it by dividing the numerator and the denominator by their greatest common divisor (GCD). The GCD of 36 and 4 is 4. So, we divide both the numerator and the denominator by 4:<br>[<br>\\frac{36}{4} = \\frac{36 \\div 4}{4 \\div 4} = \\frac{9}{1}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 5: Final Answer<\/h3>\n\n\n\n<p>The simplified fraction ( \\frac{9}{1} ) is just 9, because any fraction with 1 as the denominator is equivalent to the whole number in the numerator.<\/p>\n\n\n\n<p>Thus, the solution to ( \\frac{3}{4} \\times 12 ) is <strong>9<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation of the Process<\/h3>\n\n\n\n<p>Multiplying fractions may seem tricky at first, but it is straightforward once you follow these steps. The key is to convert the whole number into a fraction by writing it as ( \\frac{12}{1} ), then multiplying the numerators and denominators separately. Afterward, simplifying the result is important, especially when the numerator and denominator have common factors. In this case, the fraction simplifies to a whole number because 36 divided by 4 is 9. This is an essential skill for working with fractions, and the more you practice, the easier it will become!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>3\/4 x 12 The Correct Answer and Explanation is: To solve the problem ( \\frac{3}{4} \\times 12 ), let&#8217;s break it down step by step. Step 1: Understand the Problem The expression involves multiplying a fraction (( \\frac{3}{4} )) by a whole number (12). When multiplying a fraction by a whole number, you treat the [&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-167766","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167766","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=167766"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167766\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=167766"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=167766"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=167766"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}