{"id":226051,"date":"2025-06-04T20:22:12","date_gmt":"2025-06-04T20:22:12","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=226051"},"modified":"2025-06-04T20:22:14","modified_gmt":"2025-06-04T20:22:14","slug":"0-71428571428-as-a-fraction-in-simplest-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/04\/0-71428571428-as-a-fraction-in-simplest-form\/","title":{"rendered":"0.71428571428 as a fraction in simplest form"},"content":{"rendered":"\n

0.71428571428 as a fraction in simplest form<\/p>\n\n\n\n

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

Answer:<\/strong>
0.71428571428 as a fraction in simplest form is 5\/7<\/strong>.<\/p>\n\n\n\n

\n\n\n\n

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

To convert the decimal 0.71428571428 to a fraction, we first notice that the number is repeating. If we round it or truncate it slightly, we get:<\/p>\n\n\n\n

0.714285714285…<\/strong> which repeats the digits 714285<\/strong>.<\/p>\n\n\n\n

This kind of decimal is called a repeating decimal<\/em>. The repeating part here is 714285<\/strong>, which has 6 digits.<\/p>\n\n\n\n

We can use algebra to convert it into a fraction.<\/p>\n\n\n\n

Let:<\/p>\n\n\n\n

x = 0.714285714285…<\/strong><\/p>\n\n\n\n

Since the repeating block is 6 digits long, we multiply both sides by 1,000,000 to shift the decimal point 6 places:<\/p>\n\n\n\n

1,000,000x = 714285.714285…<\/strong><\/p>\n\n\n\n

Now subtract the original x:<\/p>\n\n\n\n

1,000,000x – x = 714285.714285… – 0.714285…<\/strong><\/p>\n\n\n\n

This simplifies to:<\/p>\n\n\n\n

999,999x = 714285<\/strong><\/p>\n\n\n\n

Now solve for x<\/strong>:<\/p>\n\n\n\n

x = 714285 \/ 999999<\/strong><\/p>\n\n\n\n

We can now simplify this fraction.<\/p>\n\n\n\n

Let’s divide both numerator and denominator by their greatest common divisor (GCD). The GCD of 714285 and 999999 is 142857<\/strong>.<\/p>\n\n\n\n

So: 714285999999=714285\u00f7142857999999\u00f7142857=57\\frac{714285}{999999} = \\frac{714285 \u00f7 142857}{999999 \u00f7 142857} = \\frac{5}{7}<\/p>\n\n\n\n

Thus, 0.71428571428<\/strong> is approximately 5\/7<\/strong> in fractional form.<\/p>\n\n\n\n

Even though the decimal provided was cut off (ending in …428), it clearly imitates the repeating decimal 0.714285…<\/strong>, which is the repeating representation of 5\/7<\/strong>.<\/p>\n\n\n\n

This form is simplest<\/em> because 5 and 7 have no common factors other than 1.<\/p>\n\n\n\n

So, the fraction 5\/7<\/strong> is the correct and simplified representation of 0.71428571428<\/strong>.<\/p>\n\n\n\n

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

0.71428571428 as a fraction in simplest form The Correct Answer and Explanation is: Answer:0.71428571428 as a fraction in simplest form is 5\/7. Explanation To convert the decimal 0.71428571428 to a fraction, we first notice that the number is repeating. If we round it or truncate it slightly, we get: 0.714285714285… which repeats the digits 714285. […]<\/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-226051","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226051","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=226051"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/226051\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=226051"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=226051"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=226051"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}