{"id":226069,"date":"2025-06-04T20:33:24","date_gmt":"2025-06-04T20:33:24","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=226069"},"modified":"2025-06-04T20:33:26","modified_gmt":"2025-06-04T20:33:26","slug":"write-0-196-as-a-persentage","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/04\/write-0-196-as-a-persentage\/","title":{"rendered":"write 0.196 as a persentage"},"content":{"rendered":"\n

write 0.196 as a persentage<\/p>\n\n\n\n

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

Correct Answer:<\/strong>
0.196 as a fraction in simplest form<\/strong> is 49\/250<\/strong>.<\/p>\n\n\n\n

\n\n\n\n

Explanation<\/strong>
To express the decimal 0.196<\/strong> as a fraction, we follow a systematic process.<\/p>\n\n\n\n

    \n
  1. Understand the Decimal Place Value:<\/strong>
    The number 0.196 is a terminating decimal, meaning it ends after a certain number of digits. Specifically, 0.196 has three digits after the decimal point: 1, 9, and 6.
    This tells us that 0.196 is in the thousandths place<\/strong>, so we can initially write it as: 0.196=19610000.196 = \\frac{196}{1000}<\/li>\n\n\n\n
  2. Simplify the Fraction:<\/strong>
    Now, we simplify the fraction 1961000\\frac{196}{1000}. To do this, we find the greatest common divisor (GCD)<\/strong> of 196 and 1000.
    • 196 can be factored as:
      196=2\u00d72\u00d749=22\u00d772196 = 2 \\times 2 \\times 49 = 2^2 \\times 7^2<\/li>
    • 1000 can be factored as:
      1000=103=23\u00d7531000 = 10^3 = 2^3 \\times 5^3<\/li><\/ul>The common factors between 196 and 1000 are only 222^2 (since 196 has two 2s and 1000 has three 2s).
      So, the GCD is 22=42^2 = 4. Now divide both numerator and denominator by 4: 196\u00f741000\u00f74=49250\\frac{196 \\div 4}{1000 \\div 4} = \\frac{49}{250} Therefore, the simplified fraction is: 0.196=492500.196 = \\frac{49}{250}<\/li>\n\n\n\n
    • Verify:<\/strong>
      To double-check, divide 49 by 250 using a calculator: 49250=0.196\\frac{49}{250} = 0.196 This confirms the correctness of our answer.<\/li>\n<\/ol>\n\n\n\n

      Conclusion:<\/strong>
      By recognizing the decimal place value and reducing the resulting fraction using the GCD, we successfully convert 0.196 into the simplified fraction 49\/250<\/strong>. This method works for any terminating decimal.<\/p>\n\n\n\n

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

      write 0.196 as a persentage The Correct Answer and Explanation is: Correct Answer:0.196 as a fraction in simplest form is 49\/250. ExplanationTo express the decimal 0.196 as a fraction, we follow a systematic process. Conclusion:By recognizing the decimal place value and reducing the resulting fraction using the GCD, we successfully convert 0.196 into the simplified […]<\/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-226069","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226069","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=226069"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226069\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=226069"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=226069"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=226069"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}