{"id":280735,"date":"2025-08-05T05:13:38","date_gmt":"2025-08-05T05:13:38","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=280735"},"modified":"2025-08-05T05:13:45","modified_gmt":"2025-08-05T05:13:45","slug":"express-14-15-14-20-as-a-percentage","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/08\/05\/express-14-15-14-20-as-a-percentage\/","title":{"rendered":"Express ( 14\/15 – 14\/20 ) as a percentage"},"content":{"rendered":"\n
\"\"<\/figure>\n\n\n\n

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

Of course. Here is the correct answer and a detailed explanation.<\/p>\n\n\n\n

Answer:<\/strong> 23 1\/3 %<\/p>\n\n\n\n

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

The problem requires us to calculate the value of the expression (14\/15 – 14\/20) and then express that value as a percentage. This can be accomplished in two main steps: first, performing the subtraction of the fractions, and second, converting the result into a percentage.<\/p>\n\n\n\n

Step 1: Subtracting the Fractions<\/strong><\/p>\n\n\n\n

The initial expression is a subtraction of two fractions: 14\/15 and 14\/20. To add or subtract fractions, they must have a common denominator. We need to find the least common multiple (LCM) of the two denominators, 15 and 20.<\/p>\n\n\n\n

    \n
  • Multiples of 15 are: 15, 30, 45, 60, 75, …<\/li>\n\n\n\n
  • Multiples of 20 are: 20, 40, 60, 80, …<\/li>\n<\/ul>\n\n\n\n

    The least common multiple of 15 and 20 is 60. This will be our least common denominator (LCD).<\/p>\n\n\n\n

    Now, we convert each fraction to an equivalent fraction with a denominator of 60.<\/p>\n\n\n\n

    For the fraction 14\/15, we divide the LCD by the original denominator (60 \u00f7 15 = 4) and multiply both the numerator and denominator by this result:
    (14 \u00d7 4) \/ (15 \u00d7 4) = 56\/60.<\/p>\n\n\n\n

    For the fraction 14\/20, we do the same (60 \u00f7 20 = 3):
    (14 \u00d7 3) \/ (20 \u00d7 3) = 42\/60.<\/p>\n\n\n\n

    With the fractions having a common denominator, we can now perform the subtraction:
    56\/60 – 42\/60 = (56 – 42) \/ 60 = 14\/60.<\/p>\n\n\n\n

    Before converting to a percentage, it is helpful to simplify the fraction 14\/60. Both the numerator and the denominator are divisible by 2:
    14 \u00f7 2 = 7
    60 \u00f7 2 = 30
    So, the simplified fraction is 7\/30.<\/p>\n\n\n\n

    Step 2: Converting the Fraction to a Percentage<\/strong><\/p>\n\n\n\n

    The final task is to express the fraction 7\/30 as a percentage. The word “percent” literally means “out of one hundred”. To convert any fraction to a percentage, we multiply it by 100 and add the percent symbol (%).<\/p>\n\n\n\n

    Calculation:
    (7\/30) \u00d7 100% = (7 \u00d7 100) \/ 30 % = 700 \/ 30 %<\/p>\n\n\n\n

    We can simplify the fraction 700\/30 by dividing both the numerator and the denominator by their greatest common divisor, which is 10:
    700 \u00f7 10 = 70
    30 \u00f7 10 = 3
    This gives us 70\/3 %.<\/p>\n\n\n\n

    To make this improper fraction easier to understand, we can convert it to a mixed number by dividing 70 by 3.
    70 \u00f7 3 = 23 with a remainder of 1.
    Thus, 70\/3 is equivalent to the mixed number 23 1\/3.<\/p>\n\n\n\n

    Therefore, the final answer is 23 1\/3 %.<\/p>\n\n\n\n

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

    The Correct Answer and Explanation is: Of course. Here is the correct answer and a detailed explanation. Answer: 23 1\/3 % Explanation The problem requires us to calculate the value of the expression (14\/15 – 14\/20) and then express that value as a percentage. This can be accomplished in two main steps: first, performing the subtraction […]<\/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-280735","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/280735","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=280735"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/280735\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=280735"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=280735"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=280735"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}