{"id":19814,"date":"2025-06-13T21:40:56","date_gmt":"2025-06-13T21:40:56","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=19814"},"modified":"2025-06-13T21:40:57","modified_gmt":"2025-06-13T21:40:57","slug":"what-is-the-answer-of-75-divided-by-12-in-rational-number-in-decimal","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/what-is-the-answer-of-75-divided-by-12-in-rational-number-in-decimal\/","title":{"rendered":"What is the answer of 75 divided by 12 in rational number in decimal"},"content":{"rendered":"\n<p>What is the answer of 75 divided by 12 in rational number in decimal?<\/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>Answer:<\/strong><\/h3>\n\n\n\n<p><strong>75 divided by 12 = 6.25<\/strong><\/p>\n\n\n\n<p>This is the decimal form of the rational number.<\/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 (300 words):<\/strong><\/h3>\n\n\n\n<p>A <strong>rational number<\/strong> is any number that can be expressed as the <strong>quotient or fraction of two integers<\/strong>, where the denominator is not zero. That is, a rational number can be written as: ab,where&nbsp;a&nbsp;and&nbsp;b&nbsp;are&nbsp;integers&nbsp;and&nbsp;b\u22600.\\frac{a}{b}, \\quad \\text{where } a \\text{ and } b \\text{ are integers and } b \\ne 0.<\/p>\n\n\n\n<p>In the case of <strong>75 divided by 12<\/strong>, we are essentially evaluating the rational number: 7512\\frac{75}{12}<\/p>\n\n\n\n<p>To convert this to <strong>decimal form<\/strong>, we divide the numerator by the denominator: 75\u00f712=6.2575 \\div 12 = 6.25<\/p>\n\n\n\n<p>This division is exact, meaning there is no remainder. Therefore, the decimal <strong>6.25<\/strong> is a <strong>terminating decimal<\/strong>, which is a type of rational number because it can be written as a fraction: 6.25=625100=2546.25 = \\frac{625}{100} = \\frac{25}{4}<\/p>\n\n\n\n<p>This also confirms that 6.25 is rational.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Why is 6.25 a Rational Number?<\/h3>\n\n\n\n<p>Any decimal that <strong>terminates<\/strong> or <strong>repeats<\/strong> is a rational number. In contrast, irrational numbers have <strong>non-terminating and non-repeating decimals<\/strong>, like \u03c0 or \u221a2.<\/p>\n\n\n\n<p>Since <strong>6.25 terminates<\/strong>, it is a rational number and can be expressed in fractional form.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p><strong>75 \u00f7 12 = 6.25<\/strong>, and <strong>6.25 is a rational number<\/strong> because it can be written as a ratio of two integers.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the answer of 75 divided by 12 in rational number in decimal? The correct answer and explanation is: Answer: 75 divided by 12 = 6.25 This is the decimal form of the rational number. Explanation (300 words): A rational number is any number that can be expressed as the quotient or fraction of [&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-19814","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/19814","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=19814"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/19814\/revisions"}],"predecessor-version":[{"id":19815,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/19814\/revisions\/19815"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=19814"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=19814"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=19814"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}