{"id":232177,"date":"2025-06-11T19:02:29","date_gmt":"2025-06-11T19:02:29","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=232177"},"modified":"2025-06-11T19:02:32","modified_gmt":"2025-06-11T19:02:32","slug":"how-do-you-simplify-and-make-the-decimal-0-225-into-a-fraction","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/11\/how-do-you-simplify-and-make-the-decimal-0-225-into-a-fraction\/","title":{"rendered":"How do you simplify and make the decimal 0.225 into a fraction"},"content":{"rendered":"\n<p>How do you simplify and make the decimal 0.225 into a fraction<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Answer:<\/strong><br>The decimal <strong>0.225<\/strong> can be simplified and written as the fraction <strong>9\/40<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Explanation<\/strong><\/p>\n\n\n\n<p>To convert a decimal like 0.225 into a fraction, we follow a standard mathematical process. First, we identify the place value of the decimal. The number 0.225 has three digits after the decimal point, which means it is in the <strong>thousandths<\/strong> place. Therefore, we can initially write:0.225=22510000.225 = \\frac{225}{1000}0.225=1000225\u200b<\/p>\n\n\n\n<p>This is because 225 thousandths is equal to 225 divided by 1000. However, this is not the simplest form of the fraction. To simplify, we need to find the greatest common divisor (GCD) of 225 and 1000 and then divide both the numerator and the denominator by this number.<\/p>\n\n\n\n<p>Let\u2019s find the GCD of 225 and 1000.<br>First, find the prime factorizations:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>225 = 3 \u00d7 3 \u00d7 5 \u00d7 5 = 3\u00b2 \u00d7 5\u00b2<\/li>\n\n\n\n<li>1000 = 2 \u00d7 2 \u00d7 2 \u00d7 5 \u00d7 5 \u00d7 5 = 2\u00b3 \u00d7 5\u00b3<\/li>\n<\/ul>\n\n\n\n<p>Now, take the lowest powers of the common prime factors. Both numbers share the prime factor <strong>5<\/strong>, and the lowest power common to both is 5\u00b2 = 25.<\/p>\n\n\n\n<p>So, the GCD of 225 and 1000 is <strong>25<\/strong>.<\/p>\n\n\n\n<p>Next, divide both the numerator and the denominator by 25:225\u00f7251000\u00f725=940\\frac{225 \u00f7 25}{1000 \u00f7 25} = \\frac{9}{40}1000\u00f725225\u00f725\u200b=409\u200b<\/p>\n\n\n\n<p>Thus, the simplified fraction of 0.225 is <strong>9\/40<\/strong>.<\/p>\n\n\n\n<p>This simplified fraction has no common factors between the numerator and the denominator, which means it is in its lowest terms. Fractions are considered fully simplified when the only common factor between the numerator and the denominator is 1.<\/p>\n\n\n\n<p>This process helps in understanding place value, divisibility, and the importance of reducing to lowest terms to make fractions easier to work with in further calculations.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-303.jpeg\" alt=\"\" class=\"wp-image-232178\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>How do you simplify and make the decimal 0.225 into a fraction The Correct Answer and Explanation is: Answer:The decimal 0.225 can be simplified and written as the fraction 9\/40. Explanation To convert a decimal like 0.225 into a fraction, we follow a standard mathematical process. First, we identify the place value of the 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-232177","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/232177","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=232177"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/232177\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=232177"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=232177"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=232177"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}