{"id":225760,"date":"2025-06-04T15:03:40","date_gmt":"2025-06-04T15:03:40","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=225760"},"modified":"2025-06-04T15:03:42","modified_gmt":"2025-06-04T15:03:42","slug":"write-25-6-as-a-decimal","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/04\/write-25-6-as-a-decimal\/","title":{"rendered":"Write 25\/6 as a decimal."},"content":{"rendered":"\n<p>Write 25\/6 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeat.<\/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<h3 class=\"wp-block-heading\">Decimal Form of 25\/6:<\/h3>\n\n\n\n<p>The fraction <strong>25\/6<\/strong> as a decimal is:<br><strong>4.1\u03056<\/strong>, which means <strong>4.1666&#8230;<\/strong>, where the <strong>6<\/strong> repeats forever.<\/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>To convert a fraction to a decimal, we divide the numerator (top number) by the denominator (bottom number). In this case, we are converting <strong>25\/6<\/strong> to decimal form.<\/p>\n\n\n\n<p>Let\u2019s begin the long division:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Divide 25 by 6:\n<ul class=\"wp-block-list\">\n<li>6 goes into 25 <strong>4<\/strong> times (because 6 \u00d7 4 = 24)<\/li>\n\n\n\n<li>Subtract 24 from 25, we get <strong>1<\/strong> as remainder<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>So far, we have:<br><strong>25 \u00f7 6 = 4 remainder 1<\/strong><\/p>\n\n\n\n<ol start=\"2\" class=\"wp-block-list\">\n<li>Now, add a decimal point and continue dividing:\n<ul class=\"wp-block-list\">\n<li>Bring down a 0 after the decimal point, making the new number <strong>10<\/strong><\/li>\n\n\n\n<li>6 goes into 10 <strong>1<\/strong> time (6 \u00d7 1 = 6), remainder <strong>4<\/strong><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>Now we have:<br><strong>4.1<\/strong><\/p>\n\n\n\n<ol start=\"3\" class=\"wp-block-list\">\n<li>Bring down another 0 to make <strong>40<\/strong>\n<ul class=\"wp-block-list\">\n<li>6 goes into 40 <strong>6<\/strong> times (6 \u00d7 6 = 36), remainder <strong>4<\/strong><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>We notice a <strong>pattern<\/strong> starting:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Every time we bring down a zero, we get 40 again, and dividing 40 by 6 gives 6 with a remainder of 4<\/li>\n\n\n\n<li>This cycle will repeat <strong>forever<\/strong><\/li>\n<\/ul>\n\n\n\n<p>So, the decimal becomes:<br><strong>4.1666&#8230;<\/strong><\/p>\n\n\n\n<p>To express the repeating part, we use a bar over the digit that repeats:<br><strong>4.1\u03056<\/strong><\/p>\n\n\n\n<p>This bar notation means that the <strong>6<\/strong> repeats endlessly.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Why Does the 6 Repeat?<\/h3>\n\n\n\n<p>This happens because the remainder becomes the same again (4), which causes the same digit (6) to be produced repeatedly. When a remainder repeats in division, the digits in the quotient will also repeat, creating a <strong>repeating decimal<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Summary:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>25\/6 = 4.1\u03056<\/strong><\/li>\n\n\n\n<li>The digit <strong>6<\/strong> repeats forever.<\/li>\n\n\n\n<li>This is a repeating decimal, not a terminating one.<\/li>\n\n\n\n<li>Repeating decimals are common when the denominator doesn&#8217;t evenly divide into a power of 10.<\/li>\n<\/ul>\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-banner7-181.jpeg\" alt=\"\" class=\"wp-image-225761\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Write 25\/6 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeat. The Correct Answer and Explanation is: Decimal Form of 25\/6: The fraction 25\/6 as a decimal is:4.1\u03056, which means 4.1666&#8230;, where the 6 repeats forever. Explanation To convert a fraction to a decimal, we divide the [&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-225760","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225760","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=225760"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225760\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=225760"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=225760"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=225760"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}