{"id":223700,"date":"2025-06-02T07:48:12","date_gmt":"2025-06-02T07:48:12","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=223700"},"modified":"2025-06-02T07:48:14","modified_gmt":"2025-06-02T07:48:14","slug":"write-three-fractions-equivalent-to-48-72","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/02\/write-three-fractions-equivalent-to-48-72\/","title":{"rendered":"Write three fractions equivalent to 48\/72"},"content":{"rendered":"\n<p>Write three fractions equivalent to 48\/72<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Three Fractions Equivalent to 48\/72:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>2\/3<\/strong><\/li>\n\n\n\n<li><strong>4\/6<\/strong><\/li>\n\n\n\n<li><strong>16\/24<\/strong><\/li>\n<\/ol>\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>To find fractions equivalent to <strong>48\/72<\/strong>, we need to understand what it means for two fractions to be <strong>equivalent<\/strong>. Two fractions are equivalent if they represent the <strong>same value<\/strong> or <strong>proportion<\/strong>, even though they may look different. For example, <strong>1\/2<\/strong> is the same as <strong>2\/4<\/strong>, because if you divide something into 2 parts and take 1, it is the same as dividing it into 4 parts and taking 2.<\/p>\n\n\n\n<p>Now let\u2019s take the fraction <strong>48\/72<\/strong>. To find an equivalent fraction, you can either <strong>simplify<\/strong> or <strong>scale<\/strong> it:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">1. <strong>Simplifying 48\/72<\/strong><\/h3>\n\n\n\n<p>We start by finding the <strong>Greatest Common Divisor (GCD)<\/strong> of 48 and 72.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, <strong>48<\/strong><\/li>\n\n\n\n<li>Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, <strong>72<\/strong><\/li>\n\n\n\n<li>The <strong>GCD<\/strong> is <strong>24<\/strong><\/li>\n<\/ul>\n\n\n\n<p>Now divide the numerator and denominator by 24: 48\u00f72472\u00f724=23\\frac{48 \\div 24}{72 \\div 24} = \\frac{2}{3}<\/p>\n\n\n\n<p>So, <strong>2\/3<\/strong> is the simplest form of 48\/72.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">2. <strong>Scaling Up 2\/3 to Get Another Equivalent Fraction<\/strong><\/h3>\n\n\n\n<p>Multiply both the numerator and denominator of <strong>2\/3<\/strong> by 2: 2\u00d723\u00d72=46\\frac{2 \\times 2}{3 \\times 2} = \\frac{4}{6}<\/p>\n\n\n\n<p>So, <strong>4\/6<\/strong> is equivalent to 48\/72 as well.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">3. <strong>Scaling 2\/3 by 8<\/strong><\/h3>\n\n\n\n<p>2\u00d783\u00d78=1624\\frac{2 \\times 8}{3 \\times 8} = \\frac{16}{24}<\/p>\n\n\n\n<p>So, <strong>16\/24<\/strong> is also equivalent to 48\/72.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>Equivalent fractions are just different ways of expressing the same part of a whole. You can find them by simplifying or multiplying the numerator and denominator by the same number. <strong>2\/3<\/strong>, <strong>4\/6<\/strong>, and <strong>16\/24<\/strong> are all equivalent to <strong>48\/72<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner4-115.jpeg\" alt=\"\" class=\"wp-image-223701\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Write three fractions equivalent to 48\/72 The Correct Answer and Explanation is: Three Fractions Equivalent to 48\/72: Explanation To find fractions equivalent to 48\/72, we need to understand what it means for two fractions to be equivalent. Two fractions are equivalent if they represent the same value or proportion, even though they may look different. 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