{"id":225041,"date":"2025-06-03T19:08:16","date_gmt":"2025-06-03T19:08:16","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=225041"},"modified":"2025-06-03T19:08:18","modified_gmt":"2025-06-03T19:08:18","slug":"what-is-22-5-written-as-a-fraction-in-simplest-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/03\/what-is-22-5-written-as-a-fraction-in-simplest-form\/","title":{"rendered":"What is 22.5% written as a fraction in simplest form"},"content":{"rendered":"\n

What is 22.5% written as a fraction in simplest form?<\/p>\n\n\n\n

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

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

22.5% written as a fraction in simplest form is 940\\boxed{\\frac{9}{40}}<\/p>\n\n\n\n

\n\n\n\n

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

To convert 22.5%<\/strong> into a fraction in its simplest form<\/strong>, we follow a step-by-step process.<\/p>\n\n\n\n

Step 1: Understand What Percent Means<\/strong><\/h4>\n\n\n\n

The word percent<\/strong> means \u201cper hundred.\u201d So: 22.5%=22.510022.5\\% = \\frac{22.5}{100}<\/p>\n\n\n\n

Step 2: Eliminate the Decimal<\/strong><\/h4>\n\n\n\n

To make the numerator a whole number, multiply both the numerator and denominator by 10: 22.5100=22.5\u00d710100\u00d710=2251000\\frac{22.5}{100} = \\frac{22.5 \\times 10}{100 \\times 10} = \\frac{225}{1000}<\/p>\n\n\n\n

Now we have a fraction with whole numbers: 2251000\\frac{225}{1000}<\/p>\n\n\n\n

Step 3: Simplify the Fraction<\/strong><\/h4>\n\n\n\n

To simplify, find the greatest common divisor (GCD)<\/strong> of 225 and 1000.<\/p>\n\n\n\n

    \n
  • 225<\/strong> = 32\u00d7523^2 \\times 5^2<\/li>\n\n\n\n
  • 1000<\/strong> = 23\u00d7532^3 \\times 5^3<\/li>\n<\/ul>\n\n\n\n

    The common factor is 52=255^2 = 25.<\/p>\n\n\n\n

    Now divide both numerator and denominator by 25: 225\u00f7251000\u00f725=940\\frac{225 \\div 25}{1000 \\div 25} = \\frac{9}{40}<\/p>\n\n\n\n

    So, the simplest form of 22.5% as a fraction is: 940\\boxed{\\frac{9}{40}}<\/p>\n\n\n\n

    \n\n\n\n

    Why Simplify?<\/strong><\/h4>\n\n\n\n

    Simplifying a fraction makes it easier to understand and work with in mathematical problems. It shows the proportion in its most reduced form without changing its value. The fraction 940\\frac{9}{40} tells us that for every 40 equal parts, 9 are being considered\u2014which is exactly the same as saying 22.5 out of 100.<\/p>\n\n\n\n

    \n\n\n\n

    Conclusion<\/strong><\/h4>\n\n\n\n

    Thus, converting a percentage to a fraction involves dividing by 100, removing decimals if needed, and reducing the result to its simplest form. For 22.5%, the correct and fully simplified fraction is: 940\\boxed{\\frac{9}{40}}<\/p>\n\n\n\n

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

    What is 22.5% written as a fraction in simplest form? The Correct Answer and Explanation is: Answer: 22.5% written as a fraction in simplest form is 940\\boxed{\\frac{9}{40}} Explanation: To convert 22.5% into a fraction in its simplest form, we follow a step-by-step process. Step 1: Understand What Percent Means The word percent means \u201cper hundred.\u201d […]<\/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-225041","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225041","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=225041"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225041\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=225041"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=225041"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=225041"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}