{"id":248717,"date":"2025-07-08T17:25:24","date_gmt":"2025-07-08T17:25:24","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=248717"},"modified":"2025-07-08T17:25:26","modified_gmt":"2025-07-08T17:25:26","slug":"convert-the-decimal-into-a-fraction-reduced-to-lowest-terms-0-54","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/08\/convert-the-decimal-into-a-fraction-reduced-to-lowest-terms-0-54\/","title":{"rendered":"Convert the decimal into a fraction reduced to lowest terms. 0.54"},"content":{"rendered":"\n

Convert the decimal into a fraction reduced to lowest terms. 0.54<\/p>\n\n\n\n

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

To convert the decimal 0.540.540.54 into a fraction and reduce it to the lowest terms, follow these steps:<\/p>\n\n\n\n

Step 1: Express the Decimal as a Fraction<\/h3>\n\n\n\n

Start by recognizing that 0.540.540.54 is the same as 54100\\frac{54}{100}10054\u200b because there are two decimal places, so the denominator is 100100100. 0.54=541000.54 = \\frac{54}{100}0.54=10054\u200b<\/p>\n\n\n\n

Step 2: Simplify the Fraction<\/h3>\n\n\n\n

Now, simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. To do this, we need to find the factors of both 54 and 100 and choose the largest factor they have in common.<\/p>\n\n\n\n

    \n
  • The factors of 545454 are: 1,2,3,6,9,18,27,541, 2, 3, 6, 9, 18, 27, 541,2,3,6,9,18,27,54<\/li>\n\n\n\n
  • The factors of 100100100 are: 1,2,4,5,10,20,25,50,1001, 2, 4, 5, 10, 20, 25, 50, 1001,2,4,5,10,20,25,50,100<\/li>\n<\/ul>\n\n\n\n

    The greatest common divisor (GCD) of 54 and 100 is 2.<\/p>\n\n\n\n

    Step 3: Divide the Numerator and Denominator by the GCD<\/h3>\n\n\n\n

    Now, divide both the numerator (54) and the denominator (100) by their GCD (which is 2): 54\u00f72100\u00f72=2750\\frac{54 \\div 2}{100 \\div 2} = \\frac{27}{50}100\u00f7254\u00f72\u200b=5027\u200b<\/p>\n\n\n\n

    Step 4: Conclusion<\/h3>\n\n\n\n

    So, the decimal 0.540.540.54 is equivalent to the fraction 2750\\frac{27}{50}5027\u200b. This is already in its lowest terms because the numerator and denominator have no common factors other than 1.<\/p>\n\n\n\n

    Thus, the fraction representation of 0.540.540.54 in its lowest terms is: 0.54=27500.54 = \\frac{27}{50}0.54=5027\u200b<\/p>\n\n\n\n

    This method can be applied to any decimal to convert it to a fraction, and simplifying ensures that the fraction is in its simplest form.<\/p>\n\n\n\n

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

    Convert the decimal into a fraction reduced to lowest terms. 0.54 The Correct Answer and Explanation is: To convert the decimal 0.540.540.54 into a fraction and reduce it to the lowest terms, follow these steps: Step 1: Express the Decimal as a Fraction Start by recognizing that 0.540.540.54 is the same as 54100\\frac{54}{100}10054\u200b because there […]<\/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-248717","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/248717","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=248717"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/248717\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=248717"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=248717"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=248717"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}