{"id":112590,"date":"2020-10-29T19:06:13","date_gmt":"2020-10-29T13:36:13","guid":{"rendered":"https:\/\/www.cbselabs.com\/?p=112590"},"modified":"2021-09-18T11:14:58","modified_gmt":"2021-09-18T05:44:58","slug":"is-every-rational-number-a-fraction","status":"publish","type":"post","link":"https:\/\/www.cbselabs.com\/is-every-rational-number-a-fraction\/","title":{"rendered":"Is Every Rational Number a Fraction?"},"content":{"rendered":"<p>Every Fraction is a Rational Number however a Rational Number need not be a Fraction. Refer to the entire article to know whether or not All\u00a0<a href=\"https:\/\/www.cbselabs.com\/rational-numbers\/\">Rational Numbers<\/a>\u00a0are Fractions.<\/p>\n<p>Let us Consider a\/b to be a fraction where a, b are natural numbers. We know every natural number is an integer thus a, b are integers too. Therefore the fraction a\/b is the quotient of two integers given that b \u2260 0.<\/p>\n<p>Thus, a\/b is a Rational Number. We do have instances where a\/b is a rational number but not a fraction. To help you we have taken an example.<\/p>\n<p>4\/-3 is a Rational Number but not a fraction as the denominator is not a natural number.<\/p>\n<p>Mixed Fraction consisting of both Integer Part and Fractional Part can be expressed as an Improper Fraction, which is a quotient of two integers. Hence, we can say every Mixed Fraction is a Rational Number. Thus, Every Fraction is a Rational Number.<\/p>\n<p><strong>Determine whether the following rational numbers are fractions or not<\/strong><\/p>\n<p>(i) 2\/3<\/p>\n<p>2\/3 is a Fraction as both the numerator 2 and denominator 3 are natural numbers.<\/p>\n<p>(ii) 3\/4<\/p>\n<p>3\/4 is a Fraction as both the numerator 3 and denominator 4 are natural numbers.<\/p>\n<p>(iii) -6\/-2<\/p>\n<p>-6\/-2 is not a fraction as the numerator -6 and denominator -2 are not natural numbers.<\/p>\n<p>(iv) -15\/9<\/p>\n<p>-15\/9 is not a fraction since the numerator -15 is not a natural number.<\/p>\n<p>(v) 36\/-4<\/p>\n<p>36\/-4 is not a fraction since the numerator -36 is not a natural number.<\/p>\n<p>(vi) 45\/1<\/p>\n<p>45\/1 is a Fraction since both the numerator 45 and denominator 1 are natural numbers.<\/p>\n<p>(vii) 0\/5<\/p>\n<p>0\/5 is not a reaction since the numerator 0 is not a natural number.<\/p>\n<p>(viii) 2\/10<\/p>\n<p>2\/10 is a Fraction as the numerator 2 and denominator 10 are natural numbers.<\/p>\n<p>By referring to the above instances we can infer that Not Every Rational Number is a Fraction.<\/p>\n<div class=\"jetpack-video-wrapper\">\n<div class=\"suki-oembed suki-oembed-video\" style=\"padding-top: 56.228%;\"><iframe loading=\"lazy\" title=\"Difference between Fraction and Rational numbers.\" width=\"1140\" height=\"641\" src=\"https:\/\/www.youtube.com\/embed\/PGQEvWG1OsQ?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Every Fraction is a Rational Number however a Rational Number need not be a Fraction. Refer to the entire article to know whether or not All\u00a0Rational Numbers\u00a0are Fractions. Let us Consider a\/b to be a fraction where a, b are natural numbers. We know every natural number is an integer thus a, b are integers &hellip;<\/p>\n","protected":false},"author":30,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[2,5350],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.2 (Yoast SEO v17.2) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Is Every Rational Number a Fraction? \u2013 True or False &amp; Reasons<\/title>\n<meta name=\"description\" content=\"Is Every Rational Number a Fraction? Know whether it is true or false. 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