{"id":149084,"date":"2024-10-06T18:35:01","date_gmt":"2024-10-06T18:35:01","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=149084"},"modified":"2024-10-06T18:35:06","modified_gmt":"2024-10-06T18:35:06","slug":"write-4-3-4-as-a-decimal","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/06\/write-4-3-4-as-a-decimal\/","title":{"rendered":"Write 4 3\/4% as a decimal"},"content":{"rendered":"\n

Write 4 3\/4% as a decimal (not as a percentage)<\/p>\n\n\n\n

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

The correct answer is:0.0475<\/strong>.<\/p>\n\n\n\n

To convert the percentage 4\u00be% to a decimal, follow these steps:<\/p>\n\n\n\n

    \n
  1. Convert the Mixed Number<\/strong>: Start with the mixed number 4\u00be%. To convert it into an improper fraction, multiply the whole number (4) by the denominator (4) and add the numerator (3). This gives:
    [
    4 \\times 4 + 3 = 16 + 3 = 19
    ]
    Thus, 4\u00be can be expressed as (\\frac{19}{4}).<\/li>\n\n\n\n
  2. Convert the Percentage to a Decimal<\/strong>: A percentage means \u201cper hundred,\u201d so to convert a percentage to a decimal, you divide by 100. Therefore:
    [
    4\u00be\\% = \\frac{19}{4} \\div 100 = \\frac{19}{4} \\times \\frac{1}{100} = \\frac{19}{400}
    ]<\/li>\n\n\n\n
  3. Perform the Division<\/strong>: Now, calculate (\\frac{19}{400}):
    [
    \\frac{19}{400} = 0.0475
    ]<\/li>\n<\/ol>\n\n\n\n

    Thus, 4\u00be% as a decimal is 0.0475<\/strong>.<\/p>\n\n\n\n

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

    Understanding how to convert percentages to decimals is crucial in various fields, including finance, science, and everyday calculations. A percentage represents a fraction of 100. Hence, to convert any percentage into a decimal, we divide it by 100.<\/p>\n\n\n\n

    In the case of a mixed number like 4\u00be%, we first simplify it into an improper fraction. This step is necessary to maintain the correct numerical representation while facilitating easier division. Converting to an improper fraction involves finding a common unit that combines both the whole number and the fraction into one single entity. This method prevents mistakes that can occur when handling mixed numbers.<\/p>\n\n\n\n

    Once in fraction form, dividing by 100 is straightforward, as it scales the value down to a decimal format. The resulting decimal (0.0475) retains the value of the original percentage while being more adaptable for mathematical operations, such as addition, subtraction, multiplication, or division.<\/p>\n\n\n\n

    This conversion skill is particularly useful when dealing with calculations in statistical analysis, financial projections, or any scenario where precise numeric representation is necessary.<\/p>\n","protected":false},"excerpt":{"rendered":"

    Write 4 3\/4% as a decimal (not as a percentage) The Correct Answer and Explanation is : The correct answer is:0.0475. To convert the percentage 4\u00be% to a decimal, follow these steps: Thus, 4\u00be% as a decimal is 0.0475. Explanation Understanding how to convert percentages to decimals is crucial in various fields, including finance, science, […]<\/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-149084","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149084","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=149084"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149084\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=149084"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=149084"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=149084"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}