{"id":169406,"date":"2024-11-19T08:31:04","date_gmt":"2024-11-19T08:31:04","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=169406"},"modified":"2024-11-19T08:31:06","modified_gmt":"2024-11-19T08:31:06","slug":"express-0-23-as-a-fraction-in-its-simplest-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/19\/express-0-23-as-a-fraction-in-its-simplest-form\/","title":{"rendered":"Express 0.23 as a fraction in its simplest form"},"content":{"rendered":"\n<p>Express 0.23 as a fraction in its 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>To express ( 0.23 ) as a fraction in its simplest form, follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Recognize the Decimal Form<\/h3>\n\n\n\n<p>The decimal ( 0.23 ) represents the number 23 hundredths, which is written as:<\/p>\n\n\n\n<p>[<br>0.23 = \\frac{23}{100}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Check for Simplification<\/h3>\n\n\n\n<p>The next step is to simplify the fraction ( \\frac{23}{100} ). To do this, we need to find the greatest common divisor (GCD) of 23 and 100. The number 23 is a prime number, and since 100 does not have 23 as a factor, the greatest common divisor of 23 and 100 is 1.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Simplify the Fraction<\/h3>\n\n\n\n<p>Because the GCD of 23 and 100 is 1, the fraction ( \\frac{23}{100} ) is already in its simplest form. There are no common factors that can divide both the numerator (23) and the denominator (100) other than 1.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Conclusion<\/h3>\n\n\n\n<p>Thus, ( 0.23 ) as a fraction in its simplest form is:<\/p>\n\n\n\n<p>[<br>\\frac{23}{100}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation of the Process:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Decimal to Fraction Conversion:<\/strong> To convert a decimal to a fraction, write the decimal number over a power of 10. The number of decimal places determines the power of 10. For example, 0.23 has two decimal places, so we place it over 100.<\/li>\n\n\n\n<li><strong>Simplification:<\/strong> Simplifying a fraction involves finding the GCD of the numerator and the denominator and dividing both by that number. If the GCD is 1, the fraction is already in its simplest form.<\/li>\n\n\n\n<li><strong>Prime Numbers:<\/strong> In this case, 23 is a prime number, meaning it only has divisors of 1 and 23. Since 100 is not divisible by 23, the fraction cannot be simplified further.<\/li>\n<\/ul>\n\n\n\n<p>This approach shows the straightforward method of converting and simplifying decimals to fractions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Express 0.23 as a fraction in its simplest form. The Correct Answer and Explanation is : To express ( 0.23 ) as a fraction in its simplest form, follow these steps: Step 1: Recognize the Decimal Form The decimal ( 0.23 ) represents the number 23 hundredths, which is written as: [0.23 = \\frac{23}{100}] Step [&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-169406","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/169406","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=169406"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/169406\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=169406"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=169406"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=169406"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}