{"id":159538,"date":"2024-10-31T23:45:55","date_gmt":"2024-10-31T23:45:55","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=159538"},"modified":"2024-10-31T23:45:57","modified_gmt":"2024-10-31T23:45:57","slug":"simplify-the-fraction-99-100","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/31\/simplify-the-fraction-99-100\/","title":{"rendered":"Simplify the fraction 99\/100"},"content":{"rendered":"\n

Simplify the fraction 99\/100<\/p>\n\n\n\n

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

The fraction ( \\frac{99}{100} ) is already in its simplest form.<\/p>\n\n\n\n

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

To determine whether a fraction like ( \\frac{99}{100} ) can be simplified further, we start by examining its numerator<\/strong> (99) and denominator<\/strong> (100) to see if they have any common factors<\/strong> other than 1. Simplifying a fraction means dividing both the numerator and denominator by their greatest common divisor (GCD)<\/strong>, which is the largest integer that divides both numbers without leaving a remainder. In this case, the numerator is 99, and the denominator is 100.<\/p>\n\n\n\n

    \n
  1. Prime Factorization<\/strong>: Breaking down 99 and 100 into their prime factors can help us check for common factors.<\/li>\n<\/ol>\n\n\n\n
      \n
    • 99<\/strong>: The prime factors of 99 are 3 and 11. We can express this as ( 99 = 3^2 \\times 11 ).<\/li>\n\n\n\n
    • 100<\/strong>: The prime factors of 100 are 2 and 5. This can be expressed as ( 100 = 2^2 \\times 5^2 ). Since 99 is only divisible by 3 and 11, and 100 is only divisible by 2 and 5, 99 and 100 have no common prime factors<\/strong>. This means their GCD is 1.<\/li>\n<\/ul>\n\n\n\n
        \n
      1. Checking for Simplification<\/strong>: With a GCD of 1, we know that dividing both 99 and 100 by 1 would still leave us with 99 and 100, respectively. Therefore, no further simplification is possible<\/strong>, as there are no larger numbers that can divide both values evenly.<\/li>\n\n\n\n
      2. Conclusion<\/strong>: Since the fraction is already in its lowest terms, ( \\frac{99}{100} ) cannot be simplified further. It represents a proper fraction because the numerator (99) is less than the denominator (100), which makes it equivalent to 0.99 in decimal form.<\/li>\n<\/ol>\n\n\n\n

        In summary, ( \\frac{99}{100} ) is already simplified because 99 and 100 share no common divisors other than 1, and therefore it is in its simplest form.<\/p>\n","protected":false},"excerpt":{"rendered":"

        Simplify the fraction 99\/100 The Correct Answer and Explanation is: The fraction ( \\frac{99}{100} ) is already in its simplest form. Explanation To determine whether a fraction like ( \\frac{99}{100} ) can be simplified further, we start by examining its numerator (99) and denominator (100) to see if they have any common factors other than […]<\/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-159538","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/159538","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=159538"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/159538\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=159538"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=159538"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=159538"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}