{"id":149235,"date":"2024-10-07T06:38:56","date_gmt":"2024-10-07T06:38:56","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=149235"},"modified":"2024-10-07T06:38:59","modified_gmt":"2024-10-07T06:38:59","slug":"convert-1-625-into-fraction-into-simplest-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/07\/convert-1-625-into-fraction-into-simplest-form\/","title":{"rendered":"Convert 1.625 into fraction into simplest form"},"content":{"rendered":"\n<p>Convert 1.625 into fraction into simplest form.<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>The correct answer is<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-3-color\">: <strong>{13}{8}<\/strong><\/mark><\/p>\n\n\n\n<p>To convert the decimal 1.625 into a fraction, we can follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Separate the Whole Number and Decimal<\/h3>\n\n\n\n<p>The number 1.625 consists of a whole number part, which is 1, and a decimal part, which is 0.625.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Convert the Decimal to a Fraction<\/h3>\n\n\n\n<p>To convert 0.625 into a fraction, we can recognize it as:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The decimal 0.625 can be expressed as (\\frac{625}{1000}) because there are three digits after the decimal point (hundredths place).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Simplify the Fraction<\/h3>\n\n\n\n<p>Next, we need to simplify (\\frac{625}{1000}). To do this, we find the greatest common divisor (GCD) of 625 and 1000.<\/p>\n\n\n\n<p>The prime factorization of:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>625<\/strong> is (5^4).<\/li>\n\n\n\n<li><strong>1000<\/strong> is (10^3 = 2^3 \\cdot 5^3).<\/li>\n<\/ul>\n\n\n\n<p>The common factors are (5^3), so the GCD is (125).<\/p>\n\n\n\n<p>Now, we can simplify:<br>[<br>\\frac{625 \\div 125}{1000 \\div 125} = \\frac{5}{8}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Combine the Whole Number with the Fraction<\/h3>\n\n\n\n<p>Now, we can combine the whole number part (1) with the simplified fraction:<br>[<br>1.625 = 1 + 0.625 = 1 + \\frac{5}{8}<br>]<br>To express this as a single fraction, convert the whole number into a fraction:<br>[<br>1 = \\frac{8}{8}<br>]<br>Now, add the two fractions:<br>[<br>\\frac{8}{8} + \\frac{5}{8} = \\frac{8 + 5}{8} = \\frac{13}{8}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>Thus, the decimal 1.625 converted into a fraction in its simplest form is:<br>[<br>\\frac{13}{8}<br>]<\/p>\n\n\n\n<p>This method illustrates the process of converting a decimal to a fraction through separation of the whole number and decimal parts, simplifying the fraction, and then recombining them to obtain the final result.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Convert 1.625 into fraction into simplest form. The Correct Answer and Explanation is : The correct answer is: {13}{8} To convert the decimal 1.625 into a fraction, we can follow these steps: Step 1: Separate the Whole Number and Decimal The number 1.625 consists of a whole number part, which is 1, and a decimal [&hellip;]<\/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-149235","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149235","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=149235"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149235\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=149235"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=149235"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=149235"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}