{"id":252916,"date":"2025-07-11T14:57:41","date_gmt":"2025-07-11T14:57:41","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=252916"},"modified":"2025-07-11T14:57:42","modified_gmt":"2025-07-11T14:57:42","slug":"describe-two-methods-to-convert-9-20-to-a-decimal","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/11\/describe-two-methods-to-convert-9-20-to-a-decimal\/","title":{"rendered":"Describe two methods to convert 9\/20 to a decimal."},"content":{"rendered":"\n

Describe two methods to convert 9\/20 to a decimal.<\/p>\n\n\n\n

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

To convert the fraction 920\\frac{9}{20}209\u200b into a decimal, two common methods can be employed: long division<\/strong> and multiplying by the reciprocal<\/strong>.<\/p>\n\n\n\n

1. Long Division Method<\/strong><\/h3>\n\n\n\n

The long division method is the most straightforward approach. Here’s the step-by-step process:<\/p>\n\n\n\n

    \n
  • Step 1<\/strong>: Divide 9 by 20.<\/li>\n\n\n\n
  • Step 2<\/strong>: Set up the division as 9\u00f7209 \\div 209\u00f720. Since 20 does not go into 9 directly, we add a decimal point and a zero to the dividend (making it 90).<\/li>\n\n\n\n
  • Step 3<\/strong>: Now divide 90 by 20. 20 goes into 90 four times (since 20\u00d74=8020 \\times 4 = 8020\u00d74=80).<\/li>\n\n\n\n
  • Step 4<\/strong>: Subtract 808080 from 909090, which gives a remainder of 10.<\/li>\n\n\n\n
  • Step 5<\/strong>: Bring down another zero, making it 100. Divide 100 by 20, which goes exactly 5 times (since 20\u00d75=10020 \\times 5 = 10020\u00d75=100).<\/li>\n\n\n\n
  • Step 6<\/strong>: The remainder is now zero, so the division stops here.<\/li>\n<\/ul>\n\n\n\n

    The result of the division is 0.450.450.45. Therefore, 920\\frac{9}{20}209\u200b as a decimal is 0.45<\/strong>.<\/p>\n\n\n\n

    2. Multiplying by the Reciprocal Method<\/strong><\/h3>\n\n\n\n

    Another way to convert 920\\frac{9}{20}209\u200b to a decimal is by multiplying by the reciprocal of the denominator. The reciprocal of 20 is 120\\frac{1}{20}201\u200b, so we can use this method as follows:<\/p>\n\n\n\n

      \n
    • Step 1<\/strong>: Write the fraction as 9\u00d71209 \\times \\frac{1}{20}9\u00d7201\u200b.<\/li>\n\n\n\n
    • Step 2<\/strong>: Convert 120\\frac{1}{20}201\u200b to a decimal, which is 0.050.050.05.<\/li>\n\n\n\n
    • Step 3<\/strong>: Multiply 9\u00d70.059 \\times 0.059\u00d70.05. This gives 0.450.450.45.<\/li>\n<\/ul>\n\n\n\n

      Thus, multiplying by the reciprocal also gives 0.450.450.45 as the decimal equivalent of 920\\frac{9}{20}209\u200b.<\/p>\n\n\n\n

      Conclusion<\/h3>\n\n\n\n

      Both methods yield the same result, confirming that 920\\frac{9}{20}209\u200b as a decimal is 0.45<\/strong>.<\/p>\n\n\n\n

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

      Describe two methods to convert 9\/20 to a decimal. The Correct Answer and Explanation is: To convert the fraction 920\\frac{9}{20}209\u200b into a decimal, two common methods can be employed: long division and multiplying by the reciprocal. 1. Long Division Method The long division method is the most straightforward approach. Here’s the step-by-step process: The result […]<\/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-252916","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/252916","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=252916"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/252916\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=252916"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=252916"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=252916"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}