{"id":248791,"date":"2025-07-08T18:21:11","date_gmt":"2025-07-08T18:21:11","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=248791"},"modified":"2025-07-08T18:21:13","modified_gmt":"2025-07-08T18:21:13","slug":"convert-the-decimal-into-a-fraction-reduced-to-lowest-terms-0-54-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/08\/convert-the-decimal-into-a-fraction-reduced-to-lowest-terms-0-54-2\/","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 its lowest terms, follow these steps:<\/p>\n\n\n\n

Step 1: Understand the Decimal Place Value<\/h3>\n\n\n\n

The decimal 0.540.540.54 has two digits after the decimal point. This means it can be written as:0.54=541000.54 = \\frac{54}{100}0.54=10054\u200b<\/p>\n\n\n\n

So, 0.540.540.54 is equivalent to the fraction 54100\\frac{54}{100}10054\u200b.<\/p>\n\n\n\n

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

Next, we simplify the fraction by finding the greatest common divisor (GCD) of 54 and 100. To do this, we list the factors of each number:<\/p>\n\n\n\n

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

    The greatest common factor is 2. Therefore, divide both the numerator and the denominator by 2 to simplify the fraction:54100=54\u00f72100\u00f72=2750\\frac{54}{100} = \\frac{54 \\div 2}{100 \\div 2} = \\frac{27}{50}10054\u200b=100\u00f7254\u00f72\u200b=5027\u200b<\/p>\n\n\n\n

    Step 3: Final Fraction<\/h3>\n\n\n\n

    So, the fraction in its simplest form is:0.54=27500.54 = \\frac{27}{50}0.54=5027\u200b<\/p>\n\n\n\n

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

    When converting decimals to fractions, it\u2019s important to remember the place value of the decimal. In this case, two decimal places correspond to 100100100, so we first express the decimal as a fraction with 100100100 in the denominator. Then, we simplify the fraction by finding and dividing by the greatest common divisor (GCD) of the numerator and denominator. The simplified form 2750\\frac{27}{50}5027\u200b is the lowest terms for 0.540.540.54.<\/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 its lowest terms, follow these steps: Step 1: Understand the Decimal Place Value The decimal 0.540.540.54 has two digits after the decimal point. This means it […]<\/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-248791","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/248791","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=248791"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/248791\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=248791"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=248791"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=248791"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}