{"id":20445,"date":"2025-06-14T12:48:42","date_gmt":"2025-06-14T12:48:42","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=20445"},"modified":"2025-06-14T12:48:45","modified_gmt":"2025-06-14T12:48:45","slug":"7-copies-of-the-sum-of-8-fifths-and-4","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/7-copies-of-the-sum-of-8-fifths-and-4\/","title":{"rendered":"7 copies of the sum of 8 fifths and 4"},"content":{"rendered":"\n<p>7 copies of the sum of 8 fifths and 4<\/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<p>Let&#8217;s break down the problem step-by-step:<\/p>\n\n\n\n<p><strong>Problem:<\/strong><br>&#8220;7 copies of the sum of 8 fifths and 4&#8221;<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Understand the phrase<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>&#8220;8 fifths&#8221; means the fraction 85\\frac{8}{5}.<\/li>\n\n\n\n<li>&#8220;Sum of 8 fifths and 4&#8221; means 85+4\\frac{8}{5} + 4.<\/li>\n\n\n\n<li>&#8220;7 copies of&#8221; means multiply the sum by 7.<\/li>\n<\/ul>\n\n\n\n<p>So, mathematically, the expression is:<br>7\u00d7(85+4)7 \\times \\left(\\frac{8}{5} + 4\\right)<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Calculate the sum inside the parentheses<\/h3>\n\n\n\n<p>Convert the whole number 4 to a fraction with denominator 5 to add easily:<br>4=4\u00d755=2054 = \\frac{4 \\times 5}{5} = \\frac{20}{5}<\/p>\n\n\n\n<p>Now add: 85+205=8+205=285\\frac{8}{5} + \\frac{20}{5} = \\frac{8 + 20}{5} = \\frac{28}{5}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Multiply by 7<\/h3>\n\n\n\n<p>Multiply 285\\frac{28}{5} by 7: 7\u00d7285=7\u00d7285=19657 \\times \\frac{28}{5} = \\frac{7 \\times 28}{5} = \\frac{196}{5}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Simplify or convert to mixed number<\/h3>\n\n\n\n<p>Divide 196 by 5: 196\u00f75=39&nbsp;remainder&nbsp;1196 \\div 5 = 39 \\text{ remainder } 1<\/p>\n\n\n\n<p>So, 1965=3915\\frac{196}{5} = 39 \\frac{1}{5}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Final answer:<\/strong><\/h3>\n\n\n\n<p>7\u00d7(85+4)=1965=39157 \\times \\left(\\frac{8}{5} + 4\\right) = \\frac{196}{5} = 39 \\frac{1}{5}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Explanation (300 words):<\/h2>\n\n\n\n<p>This problem involves basic operations with fractions and whole numbers. First, it&#8217;s important to understand the phrase \u201c7 copies of the sum of 8 fifths and 4.\u201d &#8220;Copies&#8221; means multiplication. So, 7 copies mean multiplying by 7. The &#8220;sum of 8 fifths and 4&#8221; means adding the fraction 85\\frac{8}{5} to the whole number 4.<\/p>\n\n\n\n<p>Because fractions and whole numbers must have a common form to be added, the whole number 4 can be expressed as 205\\frac{20}{5} (since 4=2054 = \\frac{20}{5}). This allows for straightforward addition of fractions with a common denominator: 85+205=285\\frac{8}{5} + \\frac{20}{5} = \\frac{28}{5}<\/p>\n\n\n\n<p>Next, multiplying the sum 285\\frac{28}{5} by 7 involves multiplying the numerator by 7 while keeping the denominator the same: 7\u00d7285=19657 \\times \\frac{28}{5} = \\frac{196}{5}<\/p>\n\n\n\n<p>Finally, this improper fraction 1965\\frac{196}{5} can be converted to a mixed number by dividing the numerator by the denominator: 196\u00f75=39&nbsp;remainder&nbsp;1196 \\div 5 = 39 \\text{ remainder } 1<\/p>\n\n\n\n<p>So, the mixed number is 391539 \\frac{1}{5}. This mixed number shows that seven copies of the sum equal thirty-nine wholes and one-fifth more.<\/p>\n\n\n\n<p>In conclusion, the answer is 1965\\frac{196}{5} or 391539 \\frac{1}{5}. Understanding how to convert between whole numbers and fractions and knowing basic fraction addition and multiplication are key to solving this type of problem.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>7 copies of the sum of 8 fifths and 4 The correct answer and explanation is: Let&#8217;s break down the problem step-by-step: Problem:&#8220;7 copies of the sum of 8 fifths and 4&#8221; Step 1: Understand the phrase So, mathematically, the expression is:7\u00d7(85+4)7 \\times \\left(\\frac{8}{5} + 4\\right) Step 2: Calculate the sum inside the parentheses Convert [&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-20445","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20445","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=20445"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20445\/revisions"}],"predecessor-version":[{"id":20447,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/20445\/revisions\/20447"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=20445"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=20445"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=20445"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}