{"id":155692,"date":"2024-10-16T10:26:04","date_gmt":"2024-10-16T10:26:04","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=155692"},"modified":"2024-10-16T10:26:08","modified_gmt":"2024-10-16T10:26:08","slug":"what-is-the-fraction-3-2-squared-in-fraction-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/16\/what-is-the-fraction-3-2-squared-in-fraction-form\/","title":{"rendered":"What is the fraction 3\/2 squared in fraction form"},"content":{"rendered":"\n<p>What is the fraction 3\/2 squared in fraction form?<\/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>To square the fraction ( \\frac{3}{2} ), you multiply the fraction by itself:<\/p>\n\n\n\n<p>[<br>\\left( \\frac{3}{2} \\right)^2 = \\frac{3}{2} \\times \\frac{3}{2}<br>]<\/p>\n\n\n\n<p>When multiplying fractions, you multiply the numerators together and the denominators together. Thus:<\/p>\n\n\n\n<p>[<br>\\frac{3 \\times 3}{2 \\times 2} = \\frac{9}{4}<br>]<\/p>\n\n\n\n<p>So, ( \\left( \\frac{3}{2} \\right)^2 = \\frac{9}{4} ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>Squaring a fraction involves a straightforward process, but it&#8217;s important to understand the underlying principles of fraction multiplication. A fraction is essentially a division of two integers: the numerator (the top number) and the denominator (the bottom number). The value of a fraction represents how many parts of the denominator are contained in the numerator.<\/p>\n\n\n\n<p>In this case, the fraction ( \\frac{3}{2} ) indicates that there are 3 parts of something divided into 2 equal parts. When we square the fraction, we want to determine how much of ( \\frac{3}{2} ) we have when it is itself multiplied by the same amount.<\/p>\n\n\n\n<p><strong>Step 1: Multiply the Numerators<\/strong><\/p>\n\n\n\n<p>We multiply the numerators ( 3 ) and ( 3 ):<\/p>\n\n\n\n<p>[<br>3 \\times 3 = 9<br>]<\/p>\n\n\n\n<p><strong>Step 2: Multiply the Denominators<\/strong><\/p>\n\n\n\n<p>Next, we multiply the denominators ( 2 ) and ( 2 ):<\/p>\n\n\n\n<p>[<br>2 \\times 2 = 4<br>]<\/p>\n\n\n\n<p><strong>Step 3: Combine the Results<\/strong><\/p>\n\n\n\n<p>The results give us the new numerator and denominator, resulting in:<\/p>\n\n\n\n<p>[<br>\\frac{9}{4}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>The fraction ( \\frac{3}{2} ) squared equals ( \\frac{9}{4} ). This can also be interpreted as ( 2.25 ) when converted to decimal form, highlighting the process of squaring a fraction as a means of scaling the value up by its own magnitude. Understanding this operation is essential in various mathematical applications, from simplifying expressions to solving equations.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the fraction 3\/2 squared in fraction form? The Correct Answer and Explanation is : To square the fraction ( \\frac{3}{2} ), you multiply the fraction by itself: [\\left( \\frac{3}{2} \\right)^2 = \\frac{3}{2} \\times \\frac{3}{2}] When multiplying fractions, you multiply the numerators together and the denominators together. Thus: [\\frac{3 \\times 3}{2 \\times 2} = [&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-155692","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/155692","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=155692"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/155692\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=155692"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=155692"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=155692"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}