{"id":149965,"date":"2024-10-08T06:20:04","date_gmt":"2024-10-08T06:20:04","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=149965"},"modified":"2024-10-08T06:20:07","modified_gmt":"2024-10-08T06:20:07","slug":"complete-the-sentence-to-explain-how-to-use-mental-math-to-express-12-25-as-a-percent","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/08\/complete-the-sentence-to-explain-how-to-use-mental-math-to-express-12-25-as-a-percent\/","title":{"rendered":"Complete the sentence to explain how to use mental math to express 12\/25 as a percent"},"content":{"rendered":"\n

Complete the sentence to explain how to use mental math to express 12\/25 as a percent.
Multiply the numerator and the denominator by______ to get ———
100
which is the same as _<\/em>%<\/p>\n\n\n\n

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

To express ( \\frac{12}{25} ) as a percent using mental math, we can complete the sentence as follows:<\/p>\n\n\n\n

Multiply the numerator and the denominator by 4 to get 48 over 100, which is the same as 48%.<\/strong><\/p>\n\n\n\n

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

To convert a fraction to a percentage, the goal is to express it as a fraction out of 100. This can be done using mental math, which simplifies the process. Here\u2019s a step-by-step breakdown of how to convert ( \\frac{12}{25} ) to a percentage.<\/p>\n\n\n\n

    \n
  1. Understanding the Fraction<\/strong>: The fraction ( \\frac{12}{25} ) means 12 parts out of a total of 25 parts. To convert it to a percentage, we need to find an equivalent fraction with a denominator of 100.<\/li>\n\n\n\n
  2. Finding the Multiplier<\/strong>: To change the denominator from 25 to 100, we determine what number we need to multiply 25 by to reach 100. This can be calculated by dividing 100 by 25:
    [
    100 \\div 25 = 4
    ]
    Therefore, we multiply both the numerator and the denominator by 4.<\/li>\n\n\n\n
  3. Performing the Multiplication<\/strong>:<\/li>\n<\/ol>\n\n\n\n
      \n
    • Multiply the numerator: ( 12 \\times 4 = 48 )<\/li>\n\n\n\n
    • Multiply the denominator: ( 25 \\times 4 = 100 ) This gives us the new fraction:
      [
      \\frac{48}{100}
      ]<\/li>\n<\/ul>\n\n\n\n
        \n
      1. Interpreting the Result<\/strong>: The fraction ( \\frac{48}{100} ) indicates that 48 out of 100 parts are represented, which directly translates to the percentage. Therefore, we can say that:
        [
        \\frac{12}{25} = 48\\%
        ]<\/li>\n\n\n\n
      2. Using Mental Math<\/strong>: This process demonstrates how effective mental math can be. Instead of using a calculator or more complicated methods, we utilized basic multiplication and understanding of fractions to quickly arrive at the answer.<\/li>\n<\/ol>\n\n\n\n

        In summary, by multiplying both the numerator and denominator of ( \\frac{12}{25} ) by 4, we efficiently transformed the fraction into its percentage equivalent, which is 48%. This mental math technique is particularly useful for quickly converting fractions to percentages in everyday calculations.<\/p>\n","protected":false},"excerpt":{"rendered":"

        Complete the sentence to explain how to use mental math to express 12\/25 as a percent.Multiply the numerator and the denominator by______ to get ———100which is the same as _% The Correct answer and Explanation is : To express ( \\frac{12}{25} ) as a percent using mental math, we can complete the sentence as follows: […]<\/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-149965","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149965","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=149965"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149965\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=149965"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=149965"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=149965"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}