{"id":160578,"date":"2024-11-03T07:12:13","date_gmt":"2024-11-03T07:12:13","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=160578"},"modified":"2024-11-03T07:12:17","modified_gmt":"2024-11-03T07:12:17","slug":"is-1-4-less-than-or-greater-than-1-8","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/03\/is-1-4-less-than-or-greater-than-1-8\/","title":{"rendered":"Is 1\/4 less than or greater than 1\/8"},"content":{"rendered":"\n<p>Is 1\/4 less than or greater than 1\/8?<\/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{1}{4} ) is less than or greater than ( \\frac{1}{8} ), we can use a few different methods. Let&#8217;s explore these in detail.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Method 1: Common Denominators<\/h3>\n\n\n\n<p>One effective way to compare fractions is to express them with a common denominator. The denominators in this case are 4 and 8. The least common denominator (LCD) of 4 and 8 is 8.<\/p>\n\n\n\n<p>Now, we can convert ( \\frac{1}{4} ) to a fraction with a denominator of 8:<\/p>\n\n\n\n<p>[<br>\\frac{1}{4} = \\frac{1 \\times 2}{4 \\times 2} = \\frac{2}{8}<br>]<\/p>\n\n\n\n<p>Now we can directly compare the two fractions:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( \\frac{2}{8} )<\/li>\n\n\n\n<li>( \\frac{1}{8} )<\/li>\n<\/ul>\n\n\n\n<p>Since ( 2 ) is greater than ( 1 ), we find that:<\/p>\n\n\n\n<p>[<br>\\frac{2}{8} &gt; \\frac{1}{8}<br>]<\/p>\n\n\n\n<p>Thus, ( \\frac{1}{4} ) is greater than ( \\frac{1}{8} ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Method 2: Decimal Conversion<\/h3>\n\n\n\n<p>Another way to compare fractions is by converting them to decimals.<\/p>\n\n\n\n<p>To convert ( \\frac{1}{4} ):<\/p>\n\n\n\n<p>[<br>\\frac{1}{4} = 0.25<br>]<\/p>\n\n\n\n<p>To convert ( \\frac{1}{8} ):<\/p>\n\n\n\n<p>[<br>\\frac{1}{8} = 0.125<br>]<\/p>\n\n\n\n<p>Now that both fractions are expressed as decimals, we can see:<\/p>\n\n\n\n<p>[<br>0.25 &gt; 0.125<br>]<\/p>\n\n\n\n<p>This confirms that ( \\frac{1}{4} ) is indeed greater than ( \\frac{1}{8} ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>From both methods, we can confidently conclude that ( \\frac{1}{4} ) is greater than ( \\frac{1}{8} ). This comparison demonstrates the relationship between these two fractions, highlighting the importance of using common denominators or decimal conversions for clarity. Therefore, the answer is:<\/p>\n\n\n\n<p><strong>( \\frac{1}{4} &gt; \\frac{1}{8} )<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Is 1\/4 less than or greater than 1\/8? The Correct Answer and Explanation is: To determine whether ( \\frac{1}{4} ) is less than or greater than ( \\frac{1}{8} ), we can use a few different methods. Let&#8217;s explore these in detail. Method 1: Common Denominators One effective way to compare fractions is to express 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-160578","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160578","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=160578"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160578\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=160578"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=160578"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=160578"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}