{"id":143611,"date":"2024-09-23T21:55:42","date_gmt":"2024-09-23T21:55:42","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=143611"},"modified":"2024-09-23T21:55:44","modified_gmt":"2024-09-23T21:55:44","slug":"without-using-a-calculator-convert-the-decimal-to-a-simplified-fraction-0-13","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/23\/without-using-a-calculator-convert-the-decimal-to-a-simplified-fraction-0-13\/","title":{"rendered":"Without using a calculator, convert the decimal to a simplified fraction. 0.13"},"content":{"rendered":"\n

Without using a calculator, convert the decimal to a simplified fraction. 0.13<\/p>\n\n\n\n

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

To convert the decimal 0.13 to a simplified fraction, follow these steps:<\/p>\n\n\n\n

    \n
  1. Write the decimal as a fraction<\/strong>:
    Since 0.13 has two decimal places, it can be written as 13100\\frac{13}{100}10013\u200b. This is because 0.13 means 13 hundredths.<\/li>\n\n\n\n
  2. Simplify the fraction<\/strong>:
    The fraction 13100\\frac{13}{100}10013\u200b is already in its simplest form because 13 and 100 have no common factors other than 1. Therefore, 13100\\frac{13}{100}10013\u200b is the simplified fraction for 0.13.<\/li>\n<\/ol>\n\n\n\n

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

    Step 1: Understanding decimals and place value<\/h4>\n\n\n\n

    Decimals are a way to represent fractions whose denominators are powers of 10. The number 0.13 means “13 hundredths.” In decimal notation, the first digit after the decimal point represents tenths (1\/10), and the second digit represents hundredths (1\/100). So, 0.13 can be expressed as 13 parts out of 100, which leads to the fraction 13100\\frac{13}{100}10013\u200b.<\/p>\n\n\n\n

    Step 2: Writing the fraction<\/h4>\n\n\n\n

    When converting a decimal to a fraction, the number of decimal places determines the denominator. For 0.13, there are two digits to the right of the decimal point. Thus, you place 13 over 100, because “hundredths” corresponds to a denominator of 100. Hence, 0.13 is equivalent to the fraction 13100\\frac{13}{100}10013\u200b.<\/p>\n\n\n\n

    Step 3: Simplifying the fraction<\/h4>\n\n\n\n

    To simplify a fraction, you divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, 13 is a prime number, and the only factor it shares with 100 is 1. Since no larger number divides both evenly, the fraction 13100\\frac{13}{100}10013\u200b is already in its simplest form.<\/p>\n\n\n\n

    Thus, the decimal 0.13 as a simplified fraction is 13100\\frac{13}{100}10013\u200b.<\/p>\n","protected":false},"excerpt":{"rendered":"

    Without using a calculator, convert the decimal to a simplified fraction. 0.13 The Correct answer and Explanation is: To convert the decimal 0.13 to a simplified fraction, follow these steps: Explanation Step 1: Understanding decimals and place value Decimals are a way to represent fractions whose denominators are powers of 10. The number 0.13 means […]<\/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-143611","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/143611","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=143611"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/143611\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=143611"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=143611"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=143611"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}