{"id":229312,"date":"2025-06-08T05:26:32","date_gmt":"2025-06-08T05:26:32","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=229312"},"modified":"2025-06-08T05:26:34","modified_gmt":"2025-06-08T05:26:34","slug":"write-58-as-a-fraction-in-simplest-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/08\/write-58-as-a-fraction-in-simplest-form\/","title":{"rendered":"Write 58% as a fraction in simplest form"},"content":{"rendered":"\n

Write 58% as a fraction in simplest form<\/p>\n\n\n\n

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

Correct Answer:<\/h3>\n\n\n\n

58% as a fraction in simplest form is2950\\frac{29}{50}5029\u200b<\/p>\n\n\n\n

\n\n\n\n

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

To convert a percentage to a fraction, follow a step-by-step process. Let’s break down the conversion of 58%<\/strong> into a fraction and simplify it.<\/p>\n\n\n\n

\n\n\n\n

Step 1: Understand the meaning of a percentage<\/strong>
The word \u201cpercent\u201d means \u201cper hundred.\u201d So, 58% means 58 out of 100<\/strong> or:58%=5810058\\% = \\frac{58}{100}58%=10058\u200b<\/p>\n\n\n\n

\n\n\n\n

Step 2: Simplify the fraction<\/strong>
Now that we have the fraction 58100\\frac{58}{100}10058\u200b, we simplify it by finding the greatest common divisor (GCD)<\/strong> of the numerator (58) and the denominator (100).<\/p>\n\n\n\n

First, list the factors:<\/p>\n\n\n\n

    \n
  • Factors of 58: 1, 2, 29, 58<\/li>\n\n\n\n
  • Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100<\/li>\n<\/ul>\n\n\n\n

    The greatest common factor they share is 2<\/strong>.<\/p>\n\n\n\n

    So divide both the numerator and the denominator by 2:58\u00f72100\u00f72=2950\\frac{58 \u00f7 2}{100 \u00f7 2} = \\frac{29}{50}100\u00f7258\u00f72\u200b=5029\u200b<\/p>\n\n\n\n

    \n\n\n\n

    Step 3: Check if the fraction is in simplest form<\/strong>
    Now we have 2950\\frac{29}{50}5029\u200b. Let’s check:<\/p>\n\n\n\n

      \n
    • 29 is a prime number<\/strong>, meaning it has no divisors other than 1 and itself.<\/li>\n\n\n\n
    • 50\u2019s only prime factors are 2 and 5.<\/li>\n<\/ul>\n\n\n\n

      Since 29 and 50 share no common factors other than 1<\/strong>, this fraction is already in simplest form<\/strong>.<\/p>\n\n\n\n

      \n\n\n\n

      Conclusion:<\/strong>
      58% written as a fraction is 58100\\frac{58}{100}10058\u200b, which simplifies to 2950\\frac{29}{50}5029\u200b. This final form is the simplest version because the numerator and the denominator have no common factors other than 1. Converting percentages to fractions is a helpful skill in math, especially when comparing values or solving real-world problems involving ratios.<\/p>\n\n\n\n

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

      Write 58% as a fraction in simplest form The Correct Answer and Explanation is: Correct Answer: 58% as a fraction in simplest form is2950\\frac{29}{50}5029\u200b Explanation To convert a percentage to a fraction, follow a step-by-step process. Let’s break down the conversion of 58% into a fraction and simplify it. Step 1: Understand the meaning of […]<\/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-229312","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/229312","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=229312"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/229312\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=229312"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=229312"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=229312"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}