{"id":278389,"date":"2025-08-02T05:45:47","date_gmt":"2025-08-02T05:45:47","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=278389"},"modified":"2025-08-02T05:45:50","modified_gmt":"2025-08-02T05:45:50","slug":"write-121-200-as-a-decimal-number","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/08\/02\/write-121-200-as-a-decimal-number\/","title":{"rendered":"Write 121\/200 as a decimal number."},"content":{"rendered":"\n
\"\"<\/figure>\n\n\n\n

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

The correct answer is 0.605<\/strong>.<\/p>\n\n\n\n

To write the fraction 121\/200 as a decimal number, you need to perform the division that the fraction represents. The fraction bar signifies division, so 121\/200 is equivalent to 121 divided by 200. There are a couple of effective methods to solve this.<\/p>\n\n\n\n

Method 1: Using an Equivalent Fraction<\/strong><\/p>\n\n\n\n

This method involves converting the fraction into an equivalent one with a denominator that is a power of 10 (like 10, 100, 1000, etc.). This makes the conversion to a decimal very simple.<\/p>\n\n\n\n

    \n
  1. Look at the denominator, which is 200. Ask yourself what you can multiply 200 by to get a power of 10. Multiplying 200 by 5 gives you 1000, which is a power of 10.<\/li>\n\n\n\n
  2. To create an equivalent fraction, you must multiply both the numerator and the denominator by the same number. In this case, we multiply both by 5.<\/li>\n\n\n\n
  3. Multiply the numerator: 121 \u00d7 5 = 605.<\/li>\n\n\n\n
  4. Multiply the denominator: 200 \u00d7 5 = 1000.<\/li>\n\n\n\n
  5. The new, equivalent fraction is 605\/1000.<\/li>\n\n\n\n
  6. This fraction is read as “six hundred five thousandths.” When you write this as a decimal, the last digit of the number 605 must be in the thousandths place (the third position after the decimal point). Therefore, 605\/1000 is written as 0.605.<\/li>\n<\/ol>\n\n\n\n

    Method 2: Using Long Division<\/strong><\/p>\n\n\n\n

    This method involves directly dividing the numerator by the denominator.<\/p>\n\n\n\n

      \n
    1. Set up the long division problem with 121 as the dividend and 200 as the divisor.<\/li>\n\n\n\n
    2. Since 121 is smaller than 200, you place a decimal point after 121 and add a zero, making it 121.0. Also place a decimal point in the answer space directly above.<\/li>\n\n\n\n
    3. Now, divide 1210 by 200. The number 200 goes into 1210 six times (6 \u00d7 200 = 1200). Write “6” after the decimal point in your answer.<\/li>\n\n\n\n
    4. Subtract 1200 from 1210, which leaves a remainder of 10.<\/li>\n\n\n\n
    5. Bring down another zero, making the new number 100.<\/li>\n\n\n\n
    6. Divide 100 by 200. Since 200 cannot go into 100, you write “0” in the next position in your answer.<\/li>\n\n\n\n
    7. Bring down one more zero, making the new number 1000.<\/li>\n\n\n\n
    8. Divide 1000 by 200. This goes in exactly five times (5 \u00d7 200 = 1000). Write “5” in the next position in your answer.<\/li>\n\n\n\n
    9. Subtract 1000 from 1000, which leaves a remainder of 0. The division is complete.<\/li>\n<\/ol>\n\n\n\n

      Both methods confirm that the fraction 121\/200 is equal to the decimal number 0.605.<\/p>\n\n\n\n

      \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

      The Correct Answer and Explanation is: The correct answer is 0.605. To write the fraction 121\/200 as a decimal number, you need to perform the division that the fraction represents. The fraction bar signifies division, so 121\/200 is equivalent to 121 divided by 200. There are a couple of effective methods to solve this. Method 1: […]<\/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-278389","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/278389","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=278389"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/278389\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=278389"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=278389"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=278389"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}