{"id":18039,"date":"2025-06-12T20:42:26","date_gmt":"2025-06-12T20:42:26","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=18039"},"modified":"2025-06-12T20:42:32","modified_gmt":"2025-06-12T20:42:32","slug":"4-divided-by-1-5-n","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/4-divided-by-1-5-n\/","title":{"rendered":"4 divided by 1\/5 = n"},"content":{"rendered":"\n<p>4 divided by 1\/5 = n<\/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<h3 class=\"wp-block-heading\">Answer:<\/h3>\n\n\n\n<p>4\u00f715=204 \\div \\frac{1}{5} = 20<\/p>\n\n\n\n<p>So, <strong>n = 20<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation (300 words):<\/h3>\n\n\n\n<p>To solve the expression 4\u00f7154 \\div \\frac{1}{5}, we need to understand what it means to divide by a fraction.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Step 1: Division by a Fraction<\/h4>\n\n\n\n<p>Dividing by a fraction is the same as multiplying by its <strong>reciprocal<\/strong>. The reciprocal of a fraction is simply switching the numerator and the denominator. So, the reciprocal of 15\\frac{1}{5} is 51\\frac{5}{1}, which is just 5.<\/p>\n\n\n\n<p>So, 4\u00f715=4\u00d7514 \\div \\frac{1}{5} = 4 \\times \\frac{5}{1}<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Step 2: Multiply<\/h4>\n\n\n\n<p>4\u00d751=4\u00d751=201=204 \\times \\frac{5}{1} = \\frac{4 \\times 5}{1} = \\frac{20}{1} = 20<\/p>\n\n\n\n<p>Therefore, n=20n = 20.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">Conceptual Understanding<\/h4>\n\n\n\n<p>Let\u2019s think about what this really means. If you have <strong>4 whole units<\/strong> and you want to find out how many <strong>one-fifths<\/strong> fit into 4, you&#8217;re essentially asking:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u201cHow many 15\\frac{1}{5}s are there in 4?\u201d<\/p>\n<\/blockquote>\n\n\n\n<p>Since each whole number contains 5 fifths:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1 has 5 fifths<\/li>\n\n\n\n<li>2 has 10 fifths<\/li>\n\n\n\n<li>3 has 15 fifths<\/li>\n\n\n\n<li>4 has 20 fifths<\/li>\n<\/ul>\n\n\n\n<p>So, there are <strong>20<\/strong> parts of size 15\\frac{1}{5} in the number 4.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Real-Life Example<\/h4>\n\n\n\n<p>Imagine you have 4 whole pizzas and you cut each one into 5 equal slices. How many slices do you have in total?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>4 pizzas \u00d7 5 slices each = 20 slices<\/li>\n<\/ul>\n\n\n\n<p>Each slice represents 15\\frac{1}{5} of a pizza. So, you have 20 slices of size 15\\frac{1}{5}, confirming again that: 4\u00f715=204 \\div \\frac{1}{5} = 20<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">Summary:<\/h4>\n\n\n\n<p>Dividing by a fraction flips the fraction (takes its reciprocal) and turns the division into multiplication. It&#8217;s a common rule in arithmetic and a useful tool in math and real-life problem-solving.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>4 divided by 1\/5 = n The correct answer and explanation is: Answer: 4\u00f715=204 \\div \\frac{1}{5} = 20 So, n = 20 Explanation (300 words): To solve the expression 4\u00f7154 \\div \\frac{1}{5}, we need to understand what it means to divide by a fraction. Step 1: Division by a Fraction Dividing by a fraction is [&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-18039","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/18039","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=18039"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/18039\/revisions"}],"predecessor-version":[{"id":18040,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/18039\/revisions\/18040"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=18039"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=18039"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=18039"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}