{"id":32369,"date":"2025-06-22T12:56:11","date_gmt":"2025-06-22T12:56:11","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=32369"},"modified":"2025-06-22T12:56:14","modified_gmt":"2025-06-22T12:56:14","slug":"what-is-the-fraction-form-of-0-15","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/what-is-the-fraction-form-of-0-15\/","title":{"rendered":"What is the fraction form of 0.15"},"content":{"rendered":"\n<p>What is the fraction form of 0.15? a. 15\/100 b. 10\/15 c. 3\/20 d. 20\/3<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>Thought for 7 seconds<\/p>\n\n\n\n<p>Answer: c. 3\/20<\/p>\n\n\n\n<p>Converting the decimal 0.15 into a fraction begins by recognizing its place value. Since there are two digits to the right of the decimal point, 0.15 represents \u201cfifteen hundredths.\u201d In fraction form, that is written as<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">CopyEdit<code>15\n\u2500\u2500  \n100\n<\/code><\/pre>\n\n\n\n<p>or 15\/100. This initial fraction is valid, but it can be simplified further by removing any common factors shared by the numerator and the denominator.<\/p>\n\n\n\n<p>To simplify 15\/100, identify the greatest common divisor (GCD) of 15 and 100. Both numbers are divisible by 5. Dividing numerator and denominator by 5 gives:<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">CopyEdit<code>15 \u00f7 5     100 \u00f7 5  \n\u2500\u2500\u2500\u2500\u2500\u2500  =  \u2500\u2500\u2500\u2500\u2500\u2500  \n   3          20  \n<\/code><\/pre>\n\n\n\n<p>So the fraction reduces to 3\/20. At this point, 3 and 20 share no common factors aside from 1, which means the fraction is in its simplest form.<\/p>\n\n\n\n<p>You can check this result by performing the division 3 \u00f7 20 on a calculator or by hand. It yields 0.15 exactly, confirming that 3\/20 is mathematically equivalent to the original decimal. Thus option c, 3\/20, is the correct answer in simplest form.<\/p>\n\n\n\n<p>Let us briefly review the other choices:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>15\/100 (option a) is equivalent in value to 0.15 but it is not fully simplified.<\/li>\n\n\n\n<li>10\/15 (option b) simplifies to 2\/3, which equals approximately 0.666\u2026, not 0.15.<\/li>\n\n\n\n<li>20\/3 (option d) equals approximately 6.666\u2026, which is far larger than 0.15.<\/li>\n<\/ul>\n\n\n\n<p>Understanding how to convert a decimal into a fraction and then reduce it by dividing both numerator and denominator by their GCD is a fundamental skill in algebra and number theory. It ensures that answers are presented in the most concise and standard form.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-367.jpeg\" alt=\"\" class=\"wp-image-32375\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-367.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-367-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-367-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>What is the fraction form of 0.15? a. 15\/100 b. 10\/15 c. 3\/20 d. 20\/3 The Correct Answer and Explanation is: Thought for 7 seconds Answer: c. 3\/20 Converting the decimal 0.15 into a fraction begins by recognizing its place value. Since there are two digits to the right of the decimal point, 0.15 represents [&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-32369","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/32369","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=32369"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/32369\/revisions"}],"predecessor-version":[{"id":32378,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/32369\/revisions\/32378"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=32369"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=32369"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=32369"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}