{"id":39078,"date":"2025-06-26T19:06:25","date_gmt":"2025-06-26T19:06:25","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=39078"},"modified":"2025-06-26T19:06:26","modified_gmt":"2025-06-26T19:06:26","slug":"what-is-a-common-denominator-for-1-6-and-3-5","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/what-is-a-common-denominator-for-1-6-and-3-5\/","title":{"rendered":"what is a common denominator for 1\/6 and 3\/5"},"content":{"rendered":"\n<p>what is a common denominator for 1\/6 and 3\/5<\/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<h3 class=\"wp-block-heading\">Correct Answer:<\/h3>\n\n\n\n<p>The <strong>common denominator<\/strong> for <strong>1\/6<\/strong> and <strong>3\/5<\/strong> is <strong>30<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>When you work with fractions that have different denominators, it\u2019s often necessary to find a common denominator before adding, subtracting, or comparing them. A <em>common denominator<\/em> is a shared multiple of the denominators of two or more fractions. The goal is to rewrite the fractions so they have the same bottom number (denominator), making them easier to work with.<\/p>\n\n\n\n<p>To find a common denominator for the fractions <strong>1\/6<\/strong> and <strong>3\/5<\/strong>, you need to look for the <strong>least common multiple (LCM)<\/strong> of the numbers <strong>6<\/strong> and <strong>5<\/strong>. The LCM is the smallest number that both denominators divide evenly into.<\/p>\n\n\n\n<p>Here are the steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>List multiples of 6<\/strong>:<br>6, 12, 18, 24, <strong>30<\/strong>, 36, 42&#8230;<\/li>\n\n\n\n<li><strong>List multiples of 5<\/strong>:<br>5, 10, 15, 20, 25, <strong>30<\/strong>, 35&#8230;<\/li>\n\n\n\n<li>The smallest number that appears in both lists is <strong>30<\/strong>.<br>So, <strong>30<\/strong> is the <strong>least common denominator<\/strong> of 1\/6 and 3\/5.<\/li>\n<\/ol>\n\n\n\n<p>Now convert each fraction:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>1\/6<\/strong> becomes <strong>5\/30<\/strong> because 6 \u00d7 5 = 30, so multiply both numerator and denominator by 5:<br>(1 \u00d7 5)\/(6 \u00d7 5) = 5\/30<\/li>\n\n\n\n<li><strong>3\/5<\/strong> becomes <strong>18\/30<\/strong> because 5 \u00d7 6 = 30, so multiply both numerator and denominator by 6:<br>(3 \u00d7 6)\/(5 \u00d7 6) = 18\/30<\/li>\n<\/ul>\n\n\n\n<p>Now that both fractions share a denominator of 30, they can be easily added, subtracted, or compared.<\/p>\n\n\n\n<p>In conclusion, the common denominator for <strong>1\/6<\/strong> and <strong>3\/5<\/strong> is <strong>30<\/strong>, and using it allows us to perform further operations with these fractions smoothly and accurately.<\/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-banner5-223.jpeg\" alt=\"\" class=\"wp-image-39079\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-223.jpeg 1024w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-223-300x300.jpeg 300w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-223-150x150.jpeg 150w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-223-768x768.jpeg 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>what is a common denominator for 1\/6 and 3\/5 The Correct Answer and Explanation is: Correct Answer: The common denominator for 1\/6 and 3\/5 is 30. Explanation When you work with fractions that have different denominators, it\u2019s often necessary to find a common denominator before adding, subtracting, or comparing them. A common denominator is a [&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-39078","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/39078","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=39078"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/39078\/revisions"}],"predecessor-version":[{"id":39080,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/39078\/revisions\/39080"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=39078"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=39078"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=39078"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}