{"id":237932,"date":"2025-06-17T18:17:54","date_gmt":"2025-06-17T18:17:54","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=237932"},"modified":"2025-06-17T18:17:55","modified_gmt":"2025-06-17T18:17:55","slug":"find-0-038-as-a-fraction-in-its-lowest-terms","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/17\/find-0-038-as-a-fraction-in-its-lowest-terms\/","title":{"rendered":"Find 0.038 as a fraction in its lowest terms"},"content":{"rendered":"\n

Find 0.038 as a fraction in its lowest terms
<\/p>\n\n\n\n

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

To express 0.038<\/strong> as a fraction in its lowest terms, follow these steps:<\/p>\n\n\n\n

Correct Answer:<\/strong><\/h3>\n\n\n\n

0.038=195000.038 = \\frac{19}{500}0.038=50019\u200b<\/p>\n\n\n\n

\n\n\n\n

Explanation:<\/strong><\/h3>\n\n\n\n

The decimal number 0.038 is a terminating decimal, which means it can be easily converted into a fraction.<\/p>\n\n\n\n

Step 1: Write the decimal as a fraction<\/strong><\/h4>\n\n\n\n

Start by writing 0.038 over 1:0.038=0.03810.038 = \\frac{0.038}{1}0.038=10.038\u200b<\/p>\n\n\n\n

Now eliminate the decimal by multiplying both numerator and denominator by 1000. This is because there are three decimal places in 0.038:0.038\u00d710001\u00d71000=381000\\frac{0.038 \\times 1000}{1 \\times 1000} = \\frac{38}{1000}1\u00d710000.038\u00d71000\u200b=100038\u200b<\/p>\n\n\n\n

Step 2: Simplify the fraction<\/strong><\/h4>\n\n\n\n

Next, reduce the fraction 381000\\frac{38}{1000}100038\u200b to its lowest terms. To do this, find the greatest common divisor (GCD) of 38 and 1000.<\/p>\n\n\n\n

Factors of 38: 1, 2, 19, 38
Factors of 1000: 1, 2, 4, 5, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000<\/p>\n\n\n\n

The common factor is 2<\/strong>.<\/p>\n\n\n\n

Now divide both the numerator and the denominator by 2:38\u00f721000\u00f72=19500\\frac{38 \\div 2}{1000 \\div 2} = \\frac{19}{500}1000\u00f7238\u00f72\u200b=50019\u200b<\/p>\n\n\n\n

Step 3: Final Result<\/strong><\/h4>\n\n\n\n

So, 0.038 as a simplified fraction is:19500\\boxed{\\frac{19}{500}}50019\u200b\u200b<\/p>\n\n\n\n

This fraction is in its lowest terms because 19 is a prime number and does not share any other factor with 500.<\/p>\n\n\n\n

Why This Matters<\/strong><\/h4>\n\n\n\n

Converting decimals to fractions helps with exact representation in mathematics, particularly in algebra, measurements, and applications that require precision. Using the lowest terms simplifies calculations and comparisons with other fractions.<\/p>\n\n\n\n

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

Find 0.038 as a fraction in its lowest terms The Correct Answer and Explanation is: To express 0.038 as a fraction in its lowest terms, follow these steps: Correct Answer: 0.038=195000.038 = \\frac{19}{500}0.038=50019\u200b Explanation: The decimal number 0.038 is a terminating decimal, which means it can be easily converted into a fraction. Step 1: Write […]<\/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-237932","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/237932","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=237932"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/237932\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=237932"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=237932"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=237932"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}