{"id":45315,"date":"2025-07-01T05:28:14","date_gmt":"2025-07-01T05:28:14","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=45315"},"modified":"2025-07-01T05:28:16","modified_gmt":"2025-07-01T05:28:16","slug":"find-the-quotient-5-6-divided-by-1-6","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/find-the-quotient-5-6-divided-by-1-6\/","title":{"rendered":"Find the quotient. 5\/6 divided by 1\/6"},"content":{"rendered":"\n<p>Find the quotient. 5\/6 divided by 1\/6<\/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 solve 56\u00f716\\frac{5}{6} \\div \\frac{1}{6}65\u200b\u00f761\u200b, follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Rewrite the division as multiplication<\/h3>\n\n\n\n<p>Dividing by a fraction is equivalent to multiplying by its reciprocal. The reciprocal of 16\\frac{1}{6}61\u200b is 61\\frac{6}{1}16\u200b. So, the expression becomes:56\u00f716=56\u00d761\\frac{5}{6} \\div \\frac{1}{6} = \\frac{5}{6} \\times \\frac{6}{1}65\u200b\u00f761\u200b=65\u200b\u00d716\u200b<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Multiply the fractions<\/h3>\n\n\n\n<p>Now, multiply the numerators and denominators. The numerators are 5\u00d76=305 \\times 6 = 305\u00d76=30, and the denominators are 6\u00d71=66 \\times 1 = 66\u00d71=6. So, the result is:56\u00d761=306\\frac{5}{6} \\times \\frac{6}{1} = \\frac{30}{6}65\u200b\u00d716\u200b=630\u200b<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Simplify the fraction<\/h3>\n\n\n\n<p>Now, simplify the fraction 306\\frac{30}{6}630\u200b. Divide the numerator (30) by the denominator (6):306=5\\frac{30}{6} = 5630\u200b=5<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>So, 56\u00f716=5\\frac{5}{6} \\div \\frac{1}{6} = 565\u200b\u00f761\u200b=5.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>When you divide one fraction by another, you multiply the first fraction by the reciprocal of the second fraction. In this case, since the divisor is 16\\frac{1}{6}61\u200b, we multiply by 61\\frac{6}{1}16\u200b, which is just 6. The multiplication of 56\\frac{5}{6}65\u200b by 6 simplifies directly to 5, because the 6 in the numerator and denominator cancel out. Thus, the quotient of 56\u00f716\\frac{5}{6} \\div \\frac{1}{6}65\u200b\u00f761\u200b is 5.<\/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\/07\/learnexams-banner5-10.jpeg\" alt=\"\" class=\"wp-image-45316\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-10.jpeg 1024w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-10-300x300.jpeg 300w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-10-150x150.jpeg 150w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-10-768x768.jpeg 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Find the quotient. 5\/6 divided by 1\/6 The Correct Answer and Explanation is: To solve 56\u00f716\\frac{5}{6} \\div \\frac{1}{6}65\u200b\u00f761\u200b, follow these steps: Step 1: Rewrite the division as multiplication Dividing by a fraction is equivalent to multiplying by its reciprocal. The reciprocal of 16\\frac{1}{6}61\u200b is 61\\frac{6}{1}16\u200b. So, the expression becomes:56\u00f716=56\u00d761\\frac{5}{6} \\div \\frac{1}{6} = \\frac{5}{6} \\times \\frac{6}{1}65\u200b\u00f761\u200b=65\u200b\u00d716\u200b [&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-45315","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/45315","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=45315"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/45315\/revisions"}],"predecessor-version":[{"id":45317,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/45315\/revisions\/45317"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=45315"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=45315"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=45315"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}