{"id":17088,"date":"2025-06-12T07:46:49","date_gmt":"2025-06-12T07:46:49","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=17088"},"modified":"2025-06-12T07:46:51","modified_gmt":"2025-06-12T07:46:51","slug":"convert-the-ratio-28-42-in-its-simplest-form","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/convert-the-ratio-28-42-in-its-simplest-form\/","title":{"rendered":"convert the ratio 28 : 42 in its simplest form"},"content":{"rendered":"\n<p>convert the ratio 28 : 42 in its simplest form<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong><br>The ratio <strong>28:42<\/strong> in its simplest form is <strong>2:3<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation (300 words):<\/strong><\/h3>\n\n\n\n<p>A ratio is a comparison of two quantities that shows how many times one value contains or is contained within the other. Simplifying a ratio is similar to simplifying a fraction: you divide both terms of the ratio by their greatest common divisor (GCD), also called the greatest common factor (GCF).<\/p>\n\n\n\n<p>Let\u2019s simplify the ratio <strong>28:42<\/strong> step-by-step:<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Step 1: Find the GCF of 28 and 42<\/strong><\/h4>\n\n\n\n<p>To do this, list the factors of each number:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Factors of 28: 1, 2, 4, 7, 14, 28<\/li>\n\n\n\n<li>Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42<\/li>\n<\/ul>\n\n\n\n<p>The <strong>greatest common factor<\/strong> they share is <strong>14<\/strong>.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Step 2: Divide both terms of the ratio by the GCF<\/strong><\/h4>\n\n\n\n<p>Now divide both 28 and 42 by 14:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>28 \u00f7 14 = 2<\/li>\n\n\n\n<li>42 \u00f7 14 = 3<\/li>\n<\/ul>\n\n\n\n<p>So, the simplified form of <strong>28:42<\/strong> is <strong>2:3<\/strong>.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Why Simplifying Ratios Matters<\/strong><\/h4>\n\n\n\n<p>Simplifying ratios helps to better understand the relationship between two values in the simplest terms. For example, a ratio of 28:42 might be used to describe quantities like ingredients in a recipe, lengths in geometry, or numbers of people in groups. A simplified ratio, like <strong>2:3<\/strong>, is easier to work with and interpret.<\/p>\n\n\n\n<p>Think of it this way: if a classroom has 28 boys and 42 girls, simplifying the ratio of boys to girls gives us 2:3. That means for every 2 boys, there are 3 girls, which is easier to visualize and compare.<\/p>\n\n\n\n<p>In summary, to simplify a ratio, divide both terms by the GCF. For <strong>28:42<\/strong>, the GCF is <strong>14<\/strong>, so the simplest form is <strong>2:3<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>convert the ratio 28 : 42 in its simplest form The correct answer and explanation is: Correct Answer:The ratio 28:42 in its simplest form is 2:3. Explanation (300 words): A ratio is a comparison of two quantities that shows how many times one value contains or is contained within the other. Simplifying a ratio is [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-17088","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/17088","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=17088"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/17088\/revisions"}],"predecessor-version":[{"id":17089,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/17088\/revisions\/17089"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=17088"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=17088"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=17088"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}