{"id":251013,"date":"2025-07-10T14:43:41","date_gmt":"2025-07-10T14:43:41","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=251013"},"modified":"2025-07-10T14:43:44","modified_gmt":"2025-07-10T14:43:44","slug":"convert-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/10\/convert-2\/","title":{"rendered":"Convert"},"content":{"rendered":"\n<p>Convert. 1. \\frac{113}{12} = 2. \\frac{19}{2} = 3. \\frac{36}{10} = 4. \\frac{75}{12} = 5. \\frac{50}{8} = 6. \\frac{52}{10} = 7. \\frac{13}{3} = 8. \\frac{39}{4} = 9. \\frac{68}{10} = 10. \\frac{27}{5} = 11. \\frac{53}{8} = 12. \\frac{72}{10} = 13. \\frac{11}{2} = 14. \\frac{45}{8} = 15. \\frac{42}{5} =<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>Let&#8217;s convert these fractions to their decimal equivalents. To do this, we divide the numerator by the denominator.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>11312\\frac{113}{12}12113\u200b<\/strong> 113\u00f712=9.4167113 \\div 12 = 9.4167113\u00f712=9.4167 This is approximately 9.4167.<\/li>\n\n\n\n<li><strong>192\\frac{19}{2}219\u200b<\/strong> 19\u00f72=9.519 \\div 2 = 9.519\u00f72=9.5 This is exactly 9.5.<\/li>\n\n\n\n<li><strong>3610\\frac{36}{10}1036\u200b<\/strong> 36\u00f710=3.636 \\div 10 = 3.636\u00f710=3.6 This is exactly 3.6.<\/li>\n\n\n\n<li><strong>7512\\frac{75}{12}1275\u200b<\/strong> 75\u00f712=6.2575 \\div 12 = 6.2575\u00f712=6.25 This is exactly 6.25.<\/li>\n\n\n\n<li><strong>508\\frac{50}{8}850\u200b<\/strong> 50\u00f78=6.2550 \\div 8 = 6.2550\u00f78=6.25 This is exactly 6.25.<\/li>\n\n\n\n<li><strong>5210\\frac{52}{10}1052\u200b<\/strong> 52\u00f710=5.252 \\div 10 = 5.252\u00f710=5.2 This is exactly 5.2.<\/li>\n\n\n\n<li><strong>133\\frac{13}{3}313\u200b<\/strong> 13\u00f73=4.333313 \\div 3 = 4.333313\u00f73=4.3333 This is approximately 4.3333.<\/li>\n\n\n\n<li><strong>394\\frac{39}{4}439\u200b<\/strong> 39\u00f74=9.7539 \\div 4 = 9.7539\u00f74=9.75 This is exactly 9.75.<\/li>\n\n\n\n<li><strong>6810\\frac{68}{10}1068\u200b<\/strong> 68\u00f710=6.868 \\div 10 = 6.868\u00f710=6.8 This is exactly 6.8.<\/li>\n\n\n\n<li><strong>275\\frac{27}{5}527\u200b<\/strong> 27\u00f75=5.427 \\div 5 = 5.427\u00f75=5.4 This is exactly 5.4.<\/li>\n\n\n\n<li><strong>538\\frac{53}{8}853\u200b<\/strong> 53\u00f78=6.62553 \\div 8 = 6.62553\u00f78=6.625 This is exactly 6.625.<\/li>\n\n\n\n<li><strong>7210\\frac{72}{10}1072\u200b<\/strong> 72\u00f710=7.272 \\div 10 = 7.272\u00f710=7.2 This is exactly 7.2.<\/li>\n\n\n\n<li><strong>112\\frac{11}{2}211\u200b<\/strong> 11\u00f72=5.511 \\div 2 = 5.511\u00f72=5.5 This is exactly 5.5.<\/li>\n\n\n\n<li><strong>458\\frac{45}{8}845\u200b<\/strong> 45\u00f78=5.62545 \\div 8 = 5.62545\u00f78=5.625 This is exactly 5.625.<\/li>\n\n\n\n<li><strong>425\\frac{42}{5}542\u200b<\/strong> 42\u00f75=8.442 \\div 5 = 8.442\u00f75=8.4 This is exactly 8.4.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>To convert a fraction to a decimal, the process is simply division. You divide the numerator (the top number of the fraction) by the denominator (the bottom number of the fraction). If the fraction divides evenly, you&#8217;ll get an integer. If not, you will get a decimal value, which may be a terminating decimal (as in the examples above) or a repeating decimal (for example, 1\/3 = 0.3333&#8230;).<\/p>\n\n\n\n<p>In these cases, we used long division to find the decimal equivalents of each fraction, rounding where necessary to match the typical precision for decimals (usually 4 decimal places or fewer).<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner9-28.jpeg\" alt=\"\" class=\"wp-image-251088\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Convert. 1. \\frac{113}{12} = 2. \\frac{19}{2} = 3. \\frac{36}{10} = 4. \\frac{75}{12} = 5. \\frac{50}{8} = 6. \\frac{52}{10} = 7. \\frac{13}{3} = 8. \\frac{39}{4} = 9. \\frac{68}{10} = 10. \\frac{27}{5} = 11. \\frac{53}{8} = 12. \\frac{72}{10} = 13. \\frac{11}{2} = 14. \\frac{45}{8} = 15. \\frac{42}{5} = The Correct Answer and Explanation is: Let&#8217;s convert these 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