{"id":42872,"date":"2025-06-29T11:38:25","date_gmt":"2025-06-29T11:38:25","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=42872"},"modified":"2025-06-29T11:38:26","modified_gmt":"2025-06-29T11:38:26","slug":"what-is-the-reciprocal-of-36-divided-3-4","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/what-is-the-reciprocal-of-36-divided-3-4\/","title":{"rendered":"What is the reciprocal of 36 divided 3\/4"},"content":{"rendered":"\n<p>What is the reciprocal of 36 divided 3\/4<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find the reciprocal of <strong>36 \u00f7 (3\/4)<\/strong>, let&#8217;s first simplify the expression and then find the reciprocal.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Simplify the Expression<\/h3>\n\n\n\n<p>We need to evaluate <strong>36 \u00f7 (3\/4)<\/strong>. When you divide by a fraction, it\u2019s equivalent to multiplying by the reciprocal of that fraction. So:36\u00f7(34)=36\u00d7(43)36 \\div \\left( \\frac{3}{4} \\right) = 36 \\times \\left( \\frac{4}{3} \\right)36\u00f7(43\u200b)=36\u00d7(34\u200b)<\/p>\n\n\n\n<p>Now, multiply 36 by <strong>4\/3<\/strong>:36\u00d743=36\u00d743=1443=4836 \\times \\frac{4}{3} = \\frac{36 \\times 4}{3} = \\frac{144}{3} = 4836\u00d734\u200b=336\u00d74\u200b=3144\u200b=48<\/p>\n\n\n\n<p>Thus, <strong>36 \u00f7 (3\/4) = 48<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Find the Reciprocal<\/h3>\n\n\n\n<p>The reciprocal of a number is simply <strong>1 divided by that number<\/strong>. So, the reciprocal of <strong>48<\/strong> is:148\\frac{1}{48}481\u200b<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>To recap, the reciprocal of <strong>36 \u00f7 (3\/4)<\/strong> involves two steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>First, we rewrite the division of the fraction as multiplication by the reciprocal of <strong>3\/4<\/strong>.<\/li>\n\n\n\n<li>Then, we simplify the multiplication to get <strong>48<\/strong>.<\/li>\n\n\n\n<li>Finally, the reciprocal of <strong>48<\/strong> is <strong>1\/48<\/strong>.<\/li>\n<\/ol>\n\n\n\n<p>This process demonstrates how working with fractions and their reciprocals is a key skill in math. By remembering that division by a fraction is the same as multiplication by its reciprocal, you can simplify many mathematical operations.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-394.jpeg\" alt=\"\" class=\"wp-image-42876\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-394.jpeg 1024w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-394-300x300.jpeg 300w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-394-150x150.jpeg 150w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-394-768x768.jpeg 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>What is the reciprocal of 36 divided 3\/4 The Correct Answer and Explanation is: To find the reciprocal of 36 \u00f7 (3\/4), let&#8217;s first simplify the expression and then find the reciprocal. Step 1: Simplify the Expression We need to evaluate 36 \u00f7 (3\/4). When you divide by a fraction, it\u2019s equivalent to multiplying by [&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-42872","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/42872","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=42872"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/42872\/revisions"}],"predecessor-version":[{"id":42877,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/42872\/revisions\/42877"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=42872"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=42872"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=42872"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}