{"id":21127,"date":"2025-06-15T07:49:07","date_gmt":"2025-06-15T07:49:07","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=21127"},"modified":"2025-06-15T07:49:10","modified_gmt":"2025-06-15T07:49:10","slug":"turn-the-decimal-375-into-a-fraction","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/turn-the-decimal-375-into-a-fraction\/","title":{"rendered":"Turn the decimal .375 into a fraction"},"content":{"rendered":"\n<p>Turn the decimal .375 into a fraction<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p>The decimal <strong>0.375<\/strong> can be converted into a fraction by following a straightforward process. Here\u2019s the step-by-step method:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Write the decimal as a fraction over a power of 10<\/h3>\n\n\n\n<p>Since <strong>0.375<\/strong> has three decimal places, you can write it as: 0.375=37510000.375 = \\frac{375}{1000}<\/p>\n\n\n\n<p>This is because 0.375 means 375 thousandths.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Simplify the fraction<\/h3>\n\n\n\n<p>Now, we simplify 3751000\\frac{375}{1000} by finding the greatest common divisor (GCD) of 375 and 1000.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Factors of 375: 1, 3, 5, 15, 25, 75, 125, 375<\/li>\n\n\n\n<li>Factors of 1000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000<\/li>\n<\/ul>\n\n\n\n<p>The largest common factor is <strong>125<\/strong>.<\/p>\n\n\n\n<p>Divide numerator and denominator by 125: 375\u00f71251000\u00f7125=38\\frac{375 \\div 125}{1000 \\div 125} = \\frac{3}{8}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Result<\/h3>\n\n\n\n<p>So, the decimal <strong>0.375<\/strong> as a simplified fraction is: 38\\boxed{\\frac{3}{8}}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>Decimals are another way to represent fractions, especially those with denominators that are powers of 10 (like 10, 100, 1000, etc.). Here, 0.375 means 375 parts out of 1000 (thousandths).<\/p>\n\n\n\n<p>To convert decimals to fractions:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Count the number of digits after the decimal point.<\/li>\n\n\n\n<li>Use that many zeros in the denominator (for 3 digits, use 1000).<\/li>\n\n\n\n<li>Write the decimal number without the decimal point as the numerator.<\/li>\n\n\n\n<li>Simplify the fraction by dividing numerator and denominator by their greatest common divisor (GCD).<\/li>\n<\/ul>\n\n\n\n<p>This process ensures the fraction is in its simplest form, which is important for clarity and further calculations.<\/p>\n\n\n\n<p><strong>0.375<\/strong> is a common decimal that converts cleanly into 38\\frac{3}{8}, a fraction often used in measurements (like inches in the U.S. customary system).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Turn the decimal .375 into a fraction The correct answer and explanation is: The decimal 0.375 can be converted into a fraction by following a straightforward process. Here\u2019s the step-by-step method: Step 1: Write the decimal as a fraction over a power of 10 Since 0.375 has three decimal places, you can write it as: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-21127","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21127","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=21127"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21127\/revisions"}],"predecessor-version":[{"id":21128,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21127\/revisions\/21128"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=21127"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=21127"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=21127"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}