{"id":237132,"date":"2025-06-16T20:27:29","date_gmt":"2025-06-16T20:27:29","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=237132"},"modified":"2025-06-16T20:27:30","modified_gmt":"2025-06-16T20:27:30","slug":"write-this-ratio-as-a-fraction-in-simplest-form-without-any-units","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/16\/write-this-ratio-as-a-fraction-in-simplest-form-without-any-units\/","title":{"rendered":"Write this ratio as a fraction in simplest form without any units"},"content":{"rendered":"\n<p>Write this ratio as a fraction in simplest form without any units. 16 quarts to 9 gallons<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong><br>49\\dfrac{4}{9}94\u200b<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>To write the ratio <strong>16 quarts to 9 gallons<\/strong> as a fraction in simplest form, you need both quantities to have the same unit. Since 1 gallon equals <strong>4 quarts<\/strong>, we will convert <strong>9 gallons<\/strong> into quarts.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Convert gallons to quarts<\/h3>\n\n\n\n<p>9&nbsp;gallons\u00d74=36&nbsp;quarts9 \\text{ gallons} \\times 4 = 36 \\text{ quarts}9&nbsp;gallons\u00d74=36&nbsp;quarts<\/p>\n\n\n\n<p>Now the ratio is:16&nbsp;quarts36&nbsp;quarts\\frac{16 \\text{ quarts}}{36 \\text{ quarts}}36&nbsp;quarts16&nbsp;quarts\u200b<\/p>\n\n\n\n<p>Since the units are the same, they cancel out. So we are left with:1636\\frac{16}{36}3616\u200b<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Simplify the fraction<\/h3>\n\n\n\n<p>To simplify the fraction, find the greatest common factor (GCF) of 16 and 36.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Factors of 16: 1, 2, 4, 8, 16<\/li>\n\n\n\n<li>Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36<\/li>\n\n\n\n<li>Greatest common factor: <strong>4<\/strong><\/li>\n<\/ul>\n\n\n\n<p>Now divide both numerator and denominator by 4:16\u00f7436\u00f74=49\\frac{16 \u00f7 4}{36 \u00f7 4} = \\frac{4}{9}36\u00f7416\u00f74\u200b=94\u200b<\/p>\n\n\n\n<p>So, the ratio <strong>16 quarts to 9 gallons<\/strong> written as a fraction in simplest form is:49\\boxed{\\frac{4}{9}}94\u200b\u200b<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Summary:<\/h3>\n\n\n\n<p>To compare two quantities with different units, always convert them to the same unit. In this case, we converted gallons to quarts. After canceling the units and simplifying the fraction using the GCF, the final answer is <strong>4 over 9<\/strong>, with no units included. This approach helps maintain accuracy and ensures the result is presented in the correct mathematical form.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner10-233.jpeg\" alt=\"\" class=\"wp-image-237133\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Write this ratio as a fraction in simplest form without any units. 16 quarts to 9 gallons The Correct Answer and Explanation is: Correct Answer:49\\dfrac{4}{9}94\u200b Explanation: To write the ratio 16 quarts to 9 gallons as a fraction in simplest form, you need both quantities to have the same unit. Since 1 gallon equals 4 [&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-237132","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/237132","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=237132"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/237132\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=237132"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=237132"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=237132"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}