{"id":161874,"date":"2024-11-05T16:01:33","date_gmt":"2024-11-05T16:01:33","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=161874"},"modified":"2024-11-05T16:01:36","modified_gmt":"2024-11-05T16:01:36","slug":"what-fraction-is-less-than-1-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/05\/what-fraction-is-less-than-1-2\/","title":{"rendered":"What fraction is less than 1\/2"},"content":{"rendered":"\n<p>What fraction is less than 1\/2<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find a fraction that is less than ( \\frac{1}{2} ), we can consider several examples. A straightforward fraction is ( \\frac{1}{3} ). Let\u2019s explore why ( \\frac{1}{3} ) is less than ( \\frac{1}{2} ) and how fractions compare in general.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Understanding Fraction Comparison<\/h3>\n\n\n\n<p>Fractions are composed of two parts: the numerator (the top number) and the denominator (the bottom number). The value of a fraction depends on the relationship between these two components. When comparing two fractions, it\u2019s essential to have a common denominator to see which fraction is larger or smaller.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Finding a Common Denominator<\/strong>: The denominators of ( \\frac{1}{3} ) and ( \\frac{1}{2} ) are 3 and 2, respectively. The least common multiple (LCM) of 3 and 2 is 6.<\/li>\n\n\n\n<li><strong>Converting to a Common Denominator<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To convert ( \\frac{1}{3} ) to have a denominator of 6, we multiply both the numerator and the denominator by 2:<br>[<br>\\frac{1 \\times 2}{3 \\times 2} = \\frac{2}{6}<br>]<\/li>\n\n\n\n<li>To convert ( \\frac{1}{2} ) to have a denominator of 6, we multiply both the numerator and the denominator by 3:<br>[<br>\\frac{1 \\times 3}{2 \\times 3} = \\frac{3}{6}<br>]<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Comparison<\/strong>: Now, we can compare the two fractions:<br>[<br>\\frac{2}{6} \\text{ (which is } \\frac{1}{3}) &lt; \\frac{3}{6} \\text{ (which is } \\frac{1}{2})<br>]<br>Since ( \\frac{2}{6} ) is less than ( \\frac{3}{6} ), we can conclude that ( \\frac{1}{3} ) is indeed less than ( \\frac{1}{2} ).<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>In conclusion, ( \\frac{1}{3} ) is a valid example of a fraction that is less than ( \\frac{1}{2} ). There are countless other fractions that also fulfill this criterion, such as ( \\frac{1}{4}, \\frac{2}{5}, ) and ( \\frac{3}{8} ). The key takeaway is understanding how to compare fractions by using a common denominator to facilitate the comparison. This method can be applied universally for any fractions to determine their relative sizes.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What fraction is less than 1\/2 The Correct Answer and Explanation is: To find a fraction that is less than ( \\frac{1}{2} ), we can consider several examples. A straightforward fraction is ( \\frac{1}{3} ). Let\u2019s explore why ( \\frac{1}{3} ) is less than ( \\frac{1}{2} ) and how fractions compare in general. Understanding Fraction [&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-161874","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/161874","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=161874"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/161874\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=161874"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=161874"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=161874"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}