{"id":224213,"date":"2025-06-02T19:15:50","date_gmt":"2025-06-02T19:15:50","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=224213"},"modified":"2025-06-02T19:15:52","modified_gmt":"2025-06-02T19:15:52","slug":"what-is-5-1-8-in-decimal","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/02\/what-is-5-1-8-in-decimal\/","title":{"rendered":"what is 5 1\/8% in decimal"},"content":{"rendered":"\n

what is 5 1\/8% in decimal? note it is a mixed number with percentage. please show a solution<\/p>\n\n\n\n

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

Answer:<\/strong>
518\u2009%=0.051255 \\tfrac{1}{8}\\,\\% = 0.05125<\/p>\n\n\n\n

\n\n\n\n

When a percentage is written as a mixed number you have to untangle two ideas:<\/p>\n\n\n\n

    \n
  1. The mixed-number part, which combines several whole percents with a fractional piece.<\/li>\n\n\n\n
  2. The percent sign itself, which means \u201cdivide by 100.\u201d<\/li>\n<\/ol>\n\n\n\n
    \n\n\n\n

    1. Turn the mixed number into one fraction<\/strong>
    For 5185 \\tfrac{1}{8} the denominator is 8, so convert the 5 wholes into eighths and add: 518=5+18=5\u00d788+18=40+18=418.5 \\tfrac{1}{8}=5+\\frac{1}{8} =\\frac{5\\times8}{8}+\\frac{1}{8} =\\frac{40+1}{8} =\\frac{41}{8}.<\/p>\n\n\n\n

    So we are dealing with 418\\tfrac{41}{8} percent.<\/p>\n\n\n\n

    \n\n\n\n

    2. Remove the percent sign<\/strong>
    Because \u201cpercent\u201d literally means \u201cout of 100,\u201d replace the symbol with \u00f7 100: 418\u2009%=418\u00d71100=41800.\\frac{41}{8}\\,\\%=\\frac{41}{8}\\times\\frac{1}{100} =\\frac{41}{800}.<\/p>\n\n\n\n

    Now the quantity is an ordinary fraction.<\/p>\n\n\n\n

    \n\n\n\n

    3. Convert the fraction to decimal<\/strong>
    Divide 41 by 800 (long division or a calculator): 41800=0.05125.\\frac{41}{800}=0.05125.<\/p>\n\n\n\n

    \n\n\n\n

    Making sense of the result<\/h3>\n\n\n\n
      \n
    • Ball-park check.<\/strong> Five percent equals 0.05. The answer 0.05125 is slightly larger, exactly what we expect after adding one-eighth of a percent (0.00125).<\/li>\n\n\n\n
    • Place-value perspective.<\/strong> The 5 sits in the hundredths place (0.05 \u2026), matching five percent. The trailing \u201c125\u201d reaches into the ten-, hundred-, and thousand-thousandths places, highlighting how small a fraction of a percent really is.<\/li>\n\n\n\n
    • Algebraic pattern.<\/strong> Any mixed-number percent abca \\tfrac{b}{c}% becomes<\/li>\n<\/ul>\n\n\n\n

      (a+bc)%=ac+bc\u00d7100,\\Bigl(a+\\frac{b}{c}\\Bigr)\\%=\\frac{a c+b}{c\\times100},<\/p>\n\n\n\n

      the same three-step recipe used above: merge, divide by 100, then (if desired) convert the resulting fraction into a decimal.<\/p>\n\n\n\n

      Therefore, 5185 \\tfrac{1}{8}% expressed as a decimal is 0.05125\\boxed{0.05125}.<\/strong><\/p>\n\n\n\n

      Such fluency guards against costly misreads in finance, statistics, and science, where a misplaced percent symbol or decimal point can change conclusions drastically. Mastery of this conversion thus reinforces both numerical confidence and real-world accuracy and clarity.<\/p>\n\n\n\n

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

      what is 5 1\/8% in decimal? note it is a mixed number with percentage. please show a solution The Correct Answer and Explanation is: Answer:518\u2009%=0.051255 \\tfrac{1}{8}\\,\\% = 0.05125 When a percentage is written as a mixed number you have to untangle two ideas: 1. Turn the mixed number into one fractionFor 5185 \\tfrac{1}{8} the denominator […]<\/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-224213","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/224213","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=224213"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/224213\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=224213"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=224213"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=224213"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}