{"id":145474,"date":"2024-09-27T09:08:33","date_gmt":"2024-09-27T09:08:33","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=145474"},"modified":"2024-09-27T09:08:35","modified_gmt":"2024-09-27T09:08:35","slug":"select-two-ratios-that-are-equivalent-to-27927927","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/27\/select-two-ratios-that-are-equivalent-to-27927927\/","title":{"rendered":"Select two ratios that are equivalent to 27:927:927"},"content":{"rendered":"\n<p>Select two ratios that are equivalent to 27:927:927, colon, 9. Choose 2 answers: Choose 2 answers: (Choice A) A 3:13:13, colon, 1 (Choice B) B 9:39:39, colon, 3 (Choice C) C 6:36:36, colon, 3 (Choice D) D 9:69:69, colon, 6 (Choice E) E 12:312:3<\/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 find two ratios equivalent to (27:927:927:9), we first need to simplify the original ratio. The first step is to express the ratio in a more manageable form by dividing each term by the greatest common divisor (GCD).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Simplifying the Original Ratio<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>The ratio (27:927:927:9) consists of four components: 27, 927, 927, and 9.<\/li>\n\n\n\n<li>We can find the GCD of these numbers. The GCD of 27 and 9 is 9, and since 927 is divisible by 9 as well, the GCD of all four terms is 9.<\/li>\n<\/ol>\n\n\n\n<p>Now, divide each term by 9:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( \\frac{27}{9} = 3 )<\/li>\n\n\n\n<li>( \\frac{927}{9} = 103 )<\/li>\n\n\n\n<li>( \\frac{927}{9} = 103 )<\/li>\n\n\n\n<li>( \\frac{9}{9} = 1 )<\/li>\n<\/ul>\n\n\n\n<p>Thus, the simplified form of the ratio is:<\/p>\n\n\n\n<p>[<br>3:103:103:1<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Finding Equivalent Ratios<\/h3>\n\n\n\n<p>Next, we will check each of the choices provided to see which two are equivalent to (3:103:103:1):<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Choice A: (3:13:13:1)<\/strong><br>This is not equivalent because 13 is not related to 103.<\/li>\n\n\n\n<li><strong>Choice B: (9:39:39:3)<\/strong><br>To check for equivalence, we can simplify this ratio by dividing each term by 3:<br>[<br>3:13:13:1<br>]<br>This is not equivalent.<\/li>\n\n\n\n<li><strong>Choice C: (6:36:36:3)<\/strong><br>Dividing each term by 3:<br>[<br>2:12:12:1<br>]<br>Not equivalent.<\/li>\n\n\n\n<li><strong>Choice D: (9:69:69:6)<\/strong><br>Dividing by 3 gives us:<br>[<br>3:23:23:2<br>]<br>Not equivalent.<\/li>\n\n\n\n<li><strong>Choice E: (12:312:3)<\/strong><br>Dividing each term by 3 yields:<br>[<br>4:104:1<br>]<br>Not equivalent.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>Upon reviewing the choices, none of the provided ratios are equivalent to (3:103:103:1). Therefore, it seems there may have been an error in the options given for this particular problem.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer<\/h3>\n\n\n\n<p>Thus, upon analysis, no choices are equivalent to (27:927:927:9) based on the calculations performed.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Select two ratios that are equivalent to 27:927:927, colon, 9. Choose 2 answers: Choose 2 answers: (Choice A) A 3:13:13, colon, 1 (Choice B) B 9:39:39, colon, 3 (Choice C) C 6:36:36, colon, 3 (Choice D) D 9:69:69, colon, 6 (Choice E) E 12:312:3 The Correct Answer and Explanation is : To find two ratios [&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-145474","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/145474","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=145474"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/145474\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=145474"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=145474"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=145474"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}