{"id":238802,"date":"2025-06-18T11:42:50","date_gmt":"2025-06-18T11:42:50","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=238802"},"modified":"2025-06-18T11:42:52","modified_gmt":"2025-06-18T11:42:52","slug":"convert-each-given-fraction-and-decimal-to-a-percent","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/18\/convert-each-given-fraction-and-decimal-to-a-percent\/","title":{"rendered":"Convert each given fraction and decimal to a percent."},"content":{"rendered":"\n
Convert each given fraction and decimal to a percent. 1.) \\frac{3}{4} 2.) 0.0043 3.) 1\\frac{5}{9} 4.) 5.\\overline{2121<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n
To convert fractions and decimals to percents, you multiply the number by 100 and add the percent symbol (%). Let’s convert each one step by step:<\/p>\n\n\n\n
\n\n\n\n
1.) 34\\frac{3}{4}43\u200b<\/h3>\n\n\n\n
Multiply by 100:34\u00d7100=75%\\frac{3}{4} \\times 100 = 75\\%43\u200b\u00d7100=75%<\/p>\n\n\n\n
2.) 0.0043<\/h3>\n\n\n\n
Multiply by 100:0.0043\u00d7100=0.43%0.0043 \\times 100 = 0.43\\%0.0043\u00d7100=0.43%<\/p>\n\n\n\n
3.) 1591\\frac{5}{9}195\u200b<\/h3>\n\n\n\n
First, convert the mixed number to an improper fraction:159=1491\\frac{5}{9} = \\frac{14}{9}195\u200b=914\u200b<\/p>\n\n\n\n
Now multiply by 100:149\u00d7100=14009\u2248155.56%\\frac{14}{9} \\times 100 = \\frac{1400}{9} \\approx 155.56\\%914\u200b\u00d7100=91400\u200b\u2248155.56%<\/p>\n\n\n\n
This repeating decimal means 5.212121… To convert it to a fraction, let x=5.212121…x = 5.212121…x=5.212121…. Then:100x=521.212121… x=5.212121… Subtract: 100x\u2212x=521.212121…\u22125.212121…=516\u21d299x=516\u21d2x=51699100x = 521.212121…\\ x = 5.212121…\\ \\text{Subtract: } 100x – x = 521.212121… – 5.212121… = 516 \\Rightarrow 99x = 516 \\Rightarrow x = \\frac{516}{99}100x=521.212121… x=5.212121… Subtract: 100x\u2212x=521.212121…\u22125.212121…=516\u21d299x=516\u21d2x=99516\u200b<\/p>\n\n\n\n
Now convert to a percent:51699\u00d7100=5160099\u2248521.21%\\frac{516}{99} \\times 100 = \\frac{51600}{99} \\approx 521.21\\%99516\u200b\u00d7100=9951600\u200b\u2248521.21%<\/p>\n\n\n\n
To convert any number to a percent, we multiply it by 100 and write the result with a percent symbol. This works because \u201cpercent\u201d means \u201cper hundred.\u201d So, turning a number into a percent means expressing it as a part of 100.<\/p>\n\n\n\n
For example, with the fraction 34\\frac{3}{4}43\u200b, we multiply it by 100 to find out how many parts out of 100 that is. 34\u00d7100=75\\frac{3}{4} \\times 100 = 7543\u200b\u00d7100=75, so 34=75%\\frac{3}{4} = 75\\%43\u200b=75%.<\/p>\n\n\n\n
Decimals are even simpler. Just shift the decimal point two places to the right and add a percent symbol. For 0.0043, this gives 0.43%.<\/p>\n\n\n\n
When dealing with mixed numbers, like 1591\\frac{5}{9}195\u200b, we first convert them into improper fractions. This allows us to multiply them directly by 100. Doing so with 149\\frac{14}{9}914\u200b gives a percent a little above 100, showing that the number is more than a whole.<\/p>\n\n\n\n
Repeating decimals such as 5.2121\u203e5.\\overline{2121}5.2121 take a few extra steps. First, we convert the repeating decimal into a fraction using algebra. Once we find the fraction 51699\\frac{516}{99}99516\u200b, we multiply by 100 to find the percent. The result shows us that the repeating decimal is equivalent to about 521.21%.<\/p>\n\n\n\n
This method can be used for any number, whether it is a whole number, a fraction, or a decimal. The key is always to multiply by 100 and add the percent sign.<\/p>\n\n\n\n<\/figure>\n","protected":false},"excerpt":{"rendered":"
Convert each given fraction and decimal to a percent. 1.) \\frac{3}{4} 2.) 0.0043 3.) 1\\frac{5}{9} 4.) 5.\\overline{2121 The Correct Answer and Explanation is: To convert fractions and decimals to percents, you multiply the number by 100 and add the percent symbol (%). Let’s convert each one step by step: 1.) 34\\frac{3}{4}43\u200b Multiply by 100:34\u00d7100=75%\\frac{3}{4} \\times […]<\/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-238802","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/238802","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=238802"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/238802\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=238802"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=238802"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=238802"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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