{"id":237554,"date":"2025-06-17T10:13:33","date_gmt":"2025-06-17T10:13:33","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=237554"},"modified":"2025-06-17T10:13:34","modified_gmt":"2025-06-17T10:13:34","slug":"write-the-following-rational-number-in-decimal-form-of-11-6","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/17\/write-the-following-rational-number-in-decimal-form-of-11-6\/","title":{"rendered":"write the following rational number in decimal form of 11 \/ 6"},"content":{"rendered":"\n<p>write the following rational number in decimal form of 11 \/ 6<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To write the rational number <strong>11\/6<\/strong> in decimal form, divide the numerator by the denominator:11\u00f76=1.8333\u202611 \u00f7 6 = 1.8333\\ldots11\u00f76=1.8333\u2026<\/p>\n\n\n\n<p>The decimal form of <strong>11\/6<\/strong> is <strong>1.8333&#8230;<\/strong>, which is a <strong>repeating decimal<\/strong>. It can also be written as <strong>1.83\u0305<\/strong>, where the bar over the 3 indicates that the digit 3 repeats indefinitely.<\/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>Rational numbers are numbers that can be expressed as a fraction, where the numerator and the denominator are both integers and the denominator is not zero. The number <strong>11\/6<\/strong> is a rational number because it fits this definition. To convert this fraction into decimal form, you simply divide the top number (numerator) by the bottom number (denominator).<\/p>\n\n\n\n<p>In this case, dividing 11 by 6 gives:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>6 goes into 11 one time (1 \u00d7 6 = 6)<\/li>\n\n\n\n<li>Subtract 6 from 11 to get a remainder of 5<\/li>\n\n\n\n<li>Add a decimal point and a zero, making it 50<\/li>\n\n\n\n<li>6 goes into 50 eight times (8 \u00d7 6 = 48)<\/li>\n\n\n\n<li>Subtract 48 from 50 to get a remainder of 2<\/li>\n\n\n\n<li>Add another zero to make it 20<\/li>\n\n\n\n<li>6 goes into 20 three times (3 \u00d7 6 = 18)<\/li>\n\n\n\n<li>Subtract 18 from 20 to get a remainder of 2 again<\/li>\n<\/ul>\n\n\n\n<p>This process will continue repeating with the same remainder, leading to the same digit being added to the decimal each time. So the decimal continues as <strong>1.8333&#8230;<\/strong>, with the 3 repeating forever. This kind of decimal is known as a <strong>repeating decimal<\/strong>.<\/p>\n\n\n\n<p>Repeating decimals are a common feature of rational numbers when the division does not terminate. They are different from <strong>terminating decimals<\/strong>, which end after a certain number of digits. In conclusion, <strong>11\/6<\/strong> is written in decimal form as <strong>1.83\u0305<\/strong>, showing that it repeats and does not end.<\/p>\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-banner8-867.jpeg\" alt=\"\" class=\"wp-image-237555\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>write the following rational number in decimal form of 11 \/ 6 The Correct Answer and Explanation is: To write the rational number 11\/6 in decimal form, divide the numerator by the denominator:11\u00f76=1.8333\u202611 \u00f7 6 = 1.8333\\ldots11\u00f76=1.8333\u2026 The decimal form of 11\/6 is 1.8333&#8230;, which is a repeating decimal. It can also be written as [&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-237554","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/237554","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=237554"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/237554\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=237554"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=237554"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=237554"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}