{"id":40865,"date":"2025-06-27T20:48:37","date_gmt":"2025-06-27T20:48:37","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=40865"},"modified":"2025-06-27T20:48:38","modified_gmt":"2025-06-27T20:48:38","slug":"6-1-8-2-1-12-5-1-10-3-7-25-please-answer-in-mixed-fraction","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/6-1-8-2-1-12-5-1-10-3-7-25-please-answer-in-mixed-fraction\/","title":{"rendered":"6 1\/8 &#8211; 2 1\/12-5 1\/10 + 3 7\/25 please answer in mixed fraction"},"content":{"rendered":"\n<p>6 1\/8 &#8211; 2 1\/12-5 1\/10 + 3 7\/25 please answer in mixed fraction<\/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<h3 class=\"wp-block-heading\">Step-by-Step Solution for:<\/h3>\n\n\n\n<p><strong>6 1\/8 &#8211; 2 1\/12 &#8211; 5 1\/10 + 3 7\/25<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Step 1: Convert all mixed numbers to improper fractions<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>6 1\/8<\/strong> = 6\u00d78+18=498\\frac{6 \\times 8 + 1}{8} = \\frac{49}{8}86\u00d78+1\u200b=849\u200b<\/li>\n\n\n\n<li><strong>2 1\/12<\/strong> = 2\u00d712+112=2512\\frac{2 \\times 12 + 1}{12} = \\frac{25}{12}122\u00d712+1\u200b=1225\u200b<\/li>\n\n\n\n<li><strong>5 1\/10<\/strong> = 5\u00d710+110=5110\\frac{5 \\times 10 + 1}{10} = \\frac{51}{10}105\u00d710+1\u200b=1051\u200b<\/li>\n\n\n\n<li><strong>3 7\/25<\/strong> = 3\u00d725+725=8225\\frac{3 \\times 25 + 7}{25} = \\frac{82}{25}253\u00d725+7\u200b=2582\u200b<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Step 2: Find a common denominator<\/strong><\/p>\n\n\n\n<p>The denominators are 8, 12, 10, and 25.<br>The Least Common Denominator (LCD) is <strong>600<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Step 3: Convert each fraction to have the denominator 600<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>498=49\u00d775600=3675600\\frac{49}{8} = \\frac{49 \\times 75}{600} = \\frac{3675}{600}849\u200b=60049\u00d775\u200b=6003675\u200b<\/li>\n\n\n\n<li>2512=25\u00d750600=1250600\\frac{25}{12} = \\frac{25 \\times 50}{600} = \\frac{1250}{600}1225\u200b=60025\u00d750\u200b=6001250\u200b<\/li>\n\n\n\n<li>5110=51\u00d760600=3060600\\frac{51}{10} = \\frac{51 \\times 60}{600} = \\frac{3060}{600}1051\u200b=60051\u00d760\u200b=6003060\u200b<\/li>\n\n\n\n<li>8225=82\u00d724600=1968600\\frac{82}{25} = \\frac{82 \\times 24}{600} = \\frac{1968}{600}2582\u200b=60082\u00d724\u200b=6001968\u200b<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Step 4: Perform the operations<\/strong>3675600\u22121250600\u22123060600+1968600=3675\u22121250\u22123060+1968600\\frac{3675}{600} &#8211; \\frac{1250}{600} &#8211; \\frac{3060}{600} + \\frac{1968}{600} = \\frac{3675 &#8211; 1250 &#8211; 3060 + 1968}{600}6003675\u200b\u22126001250\u200b\u22126003060\u200b+6001968\u200b=6003675\u22121250\u22123060+1968\u200b<\/p>\n\n\n\n<p>Simplifying the numerator:3675\u22121250=24252425\u22123060=\u2212635\u2212635+1968=13333675 &#8211; 1250 = 2425 2425 &#8211; 3060 = -635 -635 + 1968 = 1333 3675\u22121250=24252425\u22123060=\u2212635\u2212635+1968=1333<\/p>\n\n\n\n<p>So the result is:1333600\\frac{1333}{600}6001333\u200b<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Step 5: Convert to a mixed number<\/strong><\/p>\n\n\n\n<p>Divide 1333 by 600:1333\u00f7600=2&nbsp;remainder&nbsp;1331333 \u00f7 600 = 2 \\text{ remainder } 133 1333\u00f7600=2&nbsp;remainder&nbsp;133<\/p>\n\n\n\n<p>So:1333600=2133600\\frac{1333}{600} = 2 \\frac{133}{600}6001333\u200b=2600133\u200b<\/p>\n\n\n\n<p><strong>Step 6: Simplify the fractional part<\/strong><\/p>\n\n\n\n<p>Find the Greatest Common Divisor (GCD) of 133 and 600, which is 1, so the fraction stays the same.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Final Answer:<\/strong>2133600\\boxed{2 \\frac{133}{600}}2600133\u200b\u200b<\/p>\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 solve mixed number operations involving subtraction and addition, the first step is converting all mixed numbers to improper fractions. This simplifies the operations since dealing with improper fractions is straightforward when finding common denominators.<\/p>\n\n\n\n<p>The denominators in this case were 8, 12, 10, and 25, with an LCD of 600, which allows all fractions to be expressed with a common denominator. After conversion, arithmetic operations follow the same rules as basic fractions.<\/p>\n\n\n\n<p>The sum simplifies to an improper fraction of 1333600\\frac{1333}{600}6001333\u200b, which is then rewritten as a mixed number by dividing the numerator by the denominator. The remainder forms the fractional part, and simplifying ensures the fraction is in its simplest form.<\/p>\n\n\n\n<p>This method avoids errors that can happen when mixing whole numbers and fractions separately, providing a clean, accurate final result.<\/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-banner8-1285.jpeg\" alt=\"\" class=\"wp-image-40874\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1285.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1285-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1285-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>6 1\/8 &#8211; 2 1\/12-5 1\/10 + 3 7\/25 please answer in mixed fraction The Correct Answer and Explanation is: Step-by-Step Solution for: 6 1\/8 &#8211; 2 1\/12 &#8211; 5 1\/10 + 3 7\/25 Step 1: Convert all mixed numbers to improper fractions Step 2: Find a common denominator The denominators are 8, 12, 10, [&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-40865","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/40865","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=40865"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/40865\/revisions"}],"predecessor-version":[{"id":40875,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/40865\/revisions\/40875"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=40865"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=40865"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=40865"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}