{"id":160958,"date":"2024-11-03T17:59:28","date_gmt":"2024-11-03T17:59:28","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=160958"},"modified":"2024-11-03T17:59:30","modified_gmt":"2024-11-03T17:59:30","slug":"write-11-6-as-a-decimal","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/03\/write-11-6-as-a-decimal\/","title":{"rendered":"Write 11\/6 as a decimal."},"content":{"rendered":"\n

Write 11\/6 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To convert ( \\frac{11}{6} ) to a decimal, we divide 11 by 6.<\/p>\n\n\n\n

    \n
  1. Start by dividing 11 by 6. The whole number part of the division is 1, because (6) goes into (11) one time.<\/li>\n\n\n\n
  2. Subtract (6) (1 multiplied by 6) from (11), which leaves a remainder of (5).<\/li>\n\n\n\n
  3. Bring down a zero to make it (50).<\/li>\n\n\n\n
  4. Now, divide (50) by (6), which gives (8) (since (6 \\times 8 = 48)).<\/li>\n\n\n\n
  5. Subtract (48) from (50), leaving a remainder of (2).<\/li>\n\n\n\n
  6. Bring down another zero, making it (20).<\/li>\n\n\n\n
  7. Divide (20) by (6), which gives (3) (since (6 \\times 3 = 18)).<\/li>\n\n\n\n
  8. Subtract (18) from (20), leaving a remainder of (2) again.<\/li>\n<\/ol>\n\n\n\n

    Since we continue to get a remainder of (2) after each calculation, the sequence of digits (1.8333\\ldots) continues indefinitely. In decimal notation, we write this as:<\/p>\n\n\n\n

    [
    1.8\\overline{3}
    ]<\/p>\n\n\n\n

    The bar over the (3) indicates that (3) repeats indefinitely.<\/p>\n\n\n\n

    Explanation<\/h3>\n\n\n\n

    Fractions can be converted to decimals by performing division of the numerator by the denominator. Here, ( \\frac{11}{6} ) is an improper fraction (the numerator is larger than the denominator), so the result will be greater than 1. Through division, we find that ( \\frac{11}{6} = 1.8333\\ldots ), with the decimal part repeating. This type of decimal is known as a repeating decimal<\/strong> because a certain digit (or group of digits) repeats indefinitely.<\/p>\n\n\n\n

    In cases where the remainder repeats during division, the decimal expansion will also repeat. We use a bar notation to indicate the repeating part, making it easier to identify that only the digit (3) is repeating. Therefore, the correct answer is:<\/p>\n\n\n\n

    [
    1.8\\overline{3}
    ]<\/p>\n","protected":false},"excerpt":{"rendered":"

    Write 11\/6 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats. The Correct Answer and Explanation is: To convert ( \\frac{11}{6} ) to a decimal, we divide 11 by 6. Since we continue to get a remainder of (2) after each calculation, the sequence of digits (1.8333\\ldots) […]<\/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-160958","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160958","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=160958"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160958\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=160958"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=160958"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=160958"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}