{"id":143627,"date":"2024-09-24T04:38:29","date_gmt":"2024-09-24T04:38:29","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=143627"},"modified":"2024-09-24T04:38:31","modified_gmt":"2024-09-24T04:38:31","slug":"is-5-8-greater-than-less-than-or-equal-to-1-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/24\/is-5-8-greater-than-less-than-or-equal-to-1-2\/","title":{"rendered":"Is 5\/8 greater than less than or equal to 1\/2"},"content":{"rendered":"\n<p>Is 5\/8 greater than less than or equal to 1\/2?\u200b<\/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 determine whether ( \\frac{5}{8} ) is greater than, less than, or equal to ( \\frac{1}{2} ), we need to compare the two fractions. One common method for comparing fractions is to find a common denominator or convert them into decimal form.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Finding a common denominator<\/h3>\n\n\n\n<p>Both ( \\frac{5}{8} ) and ( \\frac{1}{2} ) have different denominators. To compare them directly, we can rewrite them with the same denominator. The least common denominator (LCD) of 8 and 2 is 8.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( \\frac{1}{2} ) can be converted to an equivalent fraction with a denominator of 8 by multiplying both the numerator and denominator by 4:<br>[<br>\\frac{1}{2} = \\frac{1 \\times 4}{2 \\times 4} = \\frac{4}{8}<br>]<\/li>\n<\/ul>\n\n\n\n<p>Now, we can directly compare ( \\frac{5}{8} ) with ( \\frac{4}{8} ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Compare the numerators<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( \\frac{5}{8} ) has a numerator of 5, while ( \\frac{4}{8} ) has a numerator of 4.<\/li>\n\n\n\n<li>Since 5 is greater than 4, we can conclude that:<br>[<br>\\frac{5}{8} > \\frac{4}{8}<br>]<br>Therefore, ( \\frac{5}{8} ) is greater than ( \\frac{1}{2} ).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Decimal Conversion (Alternative Method)<\/h3>\n\n\n\n<p>We can also compare these fractions by converting them to decimals:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( \\frac{5}{8} = 0.625 )<\/li>\n\n\n\n<li>( \\frac{1}{2} = 0.5 )<\/li>\n<\/ul>\n\n\n\n<p>Since ( 0.625 &gt; 0.5 ), this confirms that ( \\frac{5}{8} ) is greater than ( \\frac{1}{2} ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>( \\frac{5}{8} ) is <strong>greater than<\/strong> ( \\frac{1}{2} ).<\/p>\n\n\n\n<p>In conclusion, whether by using the common denominator approach or decimal conversion, ( \\frac{5}{8} ) is larger than ( \\frac{1}{2} ). This comparison shows that understanding the relationship between fractions involves either adjusting the denominators or converting to decimal form for direct comparison.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Is 5\/8 greater than less than or equal to 1\/2?\u200b The Correct answer and Explanation is: To determine whether ( \\frac{5}{8} ) is greater than, less than, or equal to ( \\frac{1}{2} ), we need to compare the two fractions. One common method for comparing fractions is to find a common denominator or convert them [&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-143627","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/143627","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=143627"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/143627\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=143627"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=143627"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=143627"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}