{"id":19125,"date":"2025-06-13T13:22:02","date_gmt":"2025-06-13T13:22:02","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=19125"},"modified":"2025-06-13T13:22:06","modified_gmt":"2025-06-13T13:22:06","slug":"convert-the-decimal-to-a-fraction","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/convert-the-decimal-to-a-fraction\/","title":{"rendered":"Convert the decimal to a fraction"},"content":{"rendered":"\n<p>Convert the decimal to a fraction. 0.25<\/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<h3 class=\"wp-block-heading\"><strong>Correct Answer:<\/strong><\/h3>\n\n\n\n<p>The decimal <strong>0.25<\/strong> as a fraction is: 14\\boxed{\\frac{1}{4}}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>300-Word Explanation:<\/strong><\/h3>\n\n\n\n<p>Converting a decimal to a fraction involves expressing the number as a ratio of two integers. Let&#8217;s break down how to convert the decimal <strong>0.25<\/strong> into a fraction and understand why the answer is <strong>\u00bc<\/strong>.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Step 1: Understand the Decimal<\/h4>\n\n\n\n<p>The decimal <strong>0.25<\/strong> means &#8220;25 hundredths.&#8221; This can be written directly as: 0.25=251000.25 = \\frac{25}{100}<\/p>\n\n\n\n<p>This is because the digits after the decimal point indicate tenths, hundredths, thousandths, etc. Here, &#8220;25&#8221; is in the hundredths place.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Step 2: Simplify the Fraction<\/h4>\n\n\n\n<p>Next, simplify the fraction <strong>25\/100<\/strong> by finding the greatest common divisor (GCD) of the numerator and the denominator.<\/p>\n\n\n\n<p>Both <strong>25<\/strong> and <strong>100<\/strong> can be divided by <strong>25<\/strong>: 25\u00f725100\u00f725=14\\frac{25 \\div 25}{100 \\div 25} = \\frac{1}{4}<\/p>\n\n\n\n<p>So, <strong>0.25<\/strong> is equivalent to the simplified fraction <strong>\u00bc<\/strong>.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Why This Works<\/h4>\n\n\n\n<p>Fractions and decimals are two different ways to represent parts of a whole. Decimals use powers of 10 (like 0.1, 0.01, 0.001), while fractions use ratios of integers. By converting a decimal like 0.25 into hundredths, we align it with the base-10 system and can easily rewrite it as a fraction.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">A Real-World Example<\/h4>\n\n\n\n<p>Imagine you have $1 and you spend $0.25. That means you spent one-quarter of a dollar. Similarly, if you cut a pizza into 4 equal slices and take one, you&#8217;ve taken \u00bc of the pizza.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Summary<\/h4>\n\n\n\n<p>The decimal <strong>0.25<\/strong> equals the fraction <strong>\u00bc<\/strong>. You convert it by writing it as 25\/100 and simplifying. This conversion is a useful skill in everyday math, science, and finance, helping to switch between formats with ease.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Convert the decimal to a fraction. 0.25 The correct answer and explanation is: Correct Answer: The decimal 0.25 as a fraction is: 14\\boxed{\\frac{1}{4}} 300-Word Explanation: Converting a decimal to a fraction involves expressing the number as a ratio of two integers. Let&#8217;s break down how to convert the decimal 0.25 into a fraction and understand [&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-19125","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/19125","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=19125"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/19125\/revisions"}],"predecessor-version":[{"id":19126,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/19125\/revisions\/19126"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=19125"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=19125"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=19125"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}