{"id":154663,"date":"2024-10-14T22:53:11","date_gmt":"2024-10-14T22:53:11","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=154663"},"modified":"2024-10-14T22:53:14","modified_gmt":"2024-10-14T22:53:14","slug":"what-is-the-simplest-form-of-33-100","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/14\/what-is-the-simplest-form-of-33-100\/","title":{"rendered":"What is the simplest form of 33\/100"},"content":{"rendered":"\n

What is the simplest form of 33\/100<\/p>\n\n\n\n

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

The fraction ( \\frac{33}{100} ) is already in its simplest form. To explain why, let’s break down the process of simplifying fractions.<\/p>\n\n\n\n

Understanding Fractions<\/h3>\n\n\n\n

A fraction consists of two parts: the numerator (the top number) and the denominator (the bottom number). To simplify a fraction, we look for the greatest common divisor (GCD) of the numerator and denominator. The GCD is the largest number that can evenly divide both numbers.<\/p>\n\n\n\n

Finding the GCD<\/h3>\n\n\n\n
    \n
  1. List the Factors<\/strong>:<\/li>\n<\/ol>\n\n\n\n
      \n
    • For ( 33 ), the factors are ( 1, 3, 11, 33 ).<\/li>\n\n\n\n
    • For ( 100 ), the factors are ( 1, 2, 4, 5, 10, 20, 25, 50, 100 ).<\/li>\n<\/ul>\n\n\n\n
        \n
      1. Identify Common Factors<\/strong>:
        The only common factor of ( 33 ) and ( 100 ) is ( 1 ).<\/li>\n\n\n\n
      2. Determine the GCD<\/strong>:
        Since the only common factor is ( 1 ), the GCD of ( 33 ) and ( 100 ) is ( 1 ).<\/li>\n<\/ol>\n\n\n\n

        Simplifying the Fraction<\/h3>\n\n\n\n

        To simplify a fraction, you divide both the numerator and denominator by their GCD:<\/p>\n\n\n\n

        [
        \\frac{33 \\div 1}{100 \\div 1} = \\frac{33}{100}
        ]<\/p>\n\n\n\n

        Since the GCD is ( 1 ), dividing by ( 1 ) does not change the fraction. Therefore, ( \\frac{33}{100} ) remains the same.<\/p>\n\n\n\n

        Conclusion<\/h3>\n\n\n\n

        Since there are no common factors other than ( 1 ), ( \\frac{33}{100} ) is already in its simplest form. This means that ( 33 ) and ( 100 ) cannot be simplified further without changing the value of the fraction. The fraction represents a value of ( 0.33 ) or ( 33\\% ) when converted to decimal or percentage form, but in terms of its fractional representation, it cannot be simplified further.<\/p>\n\n\n\n

        In summary, ( \\frac{33}{100} ) is the simplest form of this fraction because the only factor it shares with ( 100 ) is ( 1 ).<\/p>\n","protected":false},"excerpt":{"rendered":"

        What is the simplest form of 33\/100 The Correct Answer and Explanation is: The fraction ( \\frac{33}{100} ) is already in its simplest form. To explain why, let’s break down the process of simplifying fractions. Understanding Fractions A fraction consists of two parts: the numerator (the top number) and the denominator (the bottom number). To […]<\/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-154663","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/154663","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=154663"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/154663\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=154663"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=154663"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=154663"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}