{"id":230085,"date":"2025-06-08T19:35:45","date_gmt":"2025-06-08T19:35:45","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=230085"},"modified":"2025-06-08T19:35:47","modified_gmt":"2025-06-08T19:35:47","slug":"write-3-25-as-a-fraction-in-lowest-terms","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/08\/write-3-25-as-a-fraction-in-lowest-terms\/","title":{"rendered":"Write 3.25 as a fraction in lowest terms."},"content":{"rendered":"\n<p>Write 3.25 as a fraction in lowest terms. 3.25 = What is the prime factorization of the denominator of the fraction in lowest terms that equals 3.25?<\/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>3.25=1343.25 = \\frac{13}{4}3.25=413\u200b<\/p>\n\n\n\n<p><strong>Prime factorization of the denominator (4):<\/strong>4=2\u00d72=224 = 2 \\times 2 = 2^24=2\u00d72=22<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong> Explanation:<\/strong><\/h3>\n\n\n\n<p>To express <strong>3.25<\/strong> as a fraction in lowest terms, we start by recognizing that 3.25 is a decimal number. The digits after the decimal point tell us how many parts of a whole we are dealing with. In this case, \u201c.25\u201d means 25 hundredths, or:3.25=3+0.253.25 = 3 + 0.253.25=3+0.25<\/p>\n\n\n\n<p>Now, convert <strong>0.25<\/strong> to a fraction. Since 25 is in the hundredths place, we write:0.25=251000.25 = \\frac{25}{100}0.25=10025\u200b<\/p>\n\n\n\n<p>Now simplify this fraction. Both the numerator and denominator can be divided by 25:25\u00f725100\u00f725=14\\frac{25 \\div 25}{100 \\div 25} = \\frac{1}{4}100\u00f72525\u00f725\u200b=41\u200b<\/p>\n\n\n\n<p>So,3.25=3+14=124+14=1343.25 = 3 + \\frac{1}{4} = \\frac{12}{4} + \\frac{1}{4} = \\frac{13}{4}3.25=3+41\u200b=412\u200b+41\u200b=413\u200b<\/p>\n\n\n\n<p>Now, this is the fraction form of 3.25 in <strong>lowest terms<\/strong>, because 13 and 4 have no common factors other than 1.<\/p>\n\n\n\n<p>Next, let\u2019s examine the <strong>denominator<\/strong>, which is 4. We want to find the <strong>prime factorization<\/strong> of 4. Prime factorization means breaking down a number into its prime number factors.4=2\u00d72=224 = 2 \\times 2 = 2^24=2\u00d72=22<\/p>\n\n\n\n<p>The number 2 is the smallest prime number and the only even prime. Since 2 multiplied by itself gives us 4, the prime factorization of 4 is simply:222^222<\/p>\n\n\n\n<p>In summary:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>3.25 = 13\/4 in lowest terms.<\/li>\n\n\n\n<li>The denominator is 4.<\/li>\n\n\n\n<li>The prime factorization of 4 is 222^222, which involves only the prime number 2.<\/li>\n<\/ul>\n\n\n\n<p>Understanding this helps strengthen your grasp on converting decimals to fractions, simplifying, and identifying prime factorizations.<\/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-banner4-722.jpeg\" alt=\"\" class=\"wp-image-230086\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Write 3.25 as a fraction in lowest terms. 3.25 = What is the prime factorization of the denominator of the fraction in lowest terms that equals 3.25? The Correct Answer and Explanation is: Answer:3.25=1343.25 = \\frac{13}{4}3.25=413\u200b Prime factorization of the denominator (4):4=2\u00d72=224 = 2 \\times 2 = 2^24=2\u00d72=22 Explanation: To express 3.25 as a fraction [&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-230085","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230085","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=230085"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230085\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=230085"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=230085"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=230085"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}