{"id":21522,"date":"2025-06-15T12:52:55","date_gmt":"2025-06-15T12:52:55","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=21522"},"modified":"2025-06-15T12:52:56","modified_gmt":"2025-06-15T12:52:56","slug":"a-4-foot-long-sandwich-is-cut-into-servings-that-are-each","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/a-4-foot-long-sandwich-is-cut-into-servings-that-are-each\/","title":{"rendered":"A 4-foot-long sandwich is cut into servings that are each"},"content":{"rendered":"\n<p>A 4-foot-long sandwich is cut into servings that are each ; foot long. How many servings will there be after the sandwich is cut?<\/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>To solve the problem:<\/p>\n\n\n\n<p><strong>Question<\/strong>:<br>A 4-foot-long sandwich is cut into servings that are each <strong>\u00bd foot<\/strong> long.<br><strong>How many servings will there be after the sandwich is cut?<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 <strong>Correct Answer<\/strong>:<\/h3>\n\n\n\n<p><strong>8 servings<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83e\udde0 <strong>Explanation (300 words)<\/strong>:<\/h3>\n\n\n\n<p>This is a division problem involving fractions. We are asked to find how many <strong>\u00bd-foot servings<\/strong> can be made from a <strong>4-foot sandwich<\/strong>. Essentially, we are dividing the total length of the sandwich by the length of one serving: Number&nbsp;of&nbsp;servings=412\\text{Number of servings} = \\frac{4}{\\frac{1}{2}}<\/p>\n\n\n\n<p>Dividing by a fraction means multiplying by its reciprocal. The reciprocal of 12\\frac{1}{2} is 22. So: 412=4\u00d72=8\\frac{4}{\\frac{1}{2}} = 4 \\times 2 = 8<\/p>\n\n\n\n<p>So, you can get <strong>8 equal servings<\/strong> of \u00bd foot each from a 4-foot-long sandwich.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udd0d <strong>Why This Works<\/strong>:<\/h3>\n\n\n\n<p>Imagine a sandwich that&#8217;s exactly 4 feet long. If you want each serving to be \u00bd foot in size, you can line up half-foot segments end-to-end along the sandwich:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>First serving: 0 to 0.5 feet<\/li>\n\n\n\n<li>Second: 0.5 to 1 foot<\/li>\n\n\n\n<li>Third: 1 to 1.5 feet<\/li>\n\n\n\n<li>Fourth: 1.5 to 2 feet<\/li>\n\n\n\n<li>Fifth: 2 to 2.5 feet<\/li>\n\n\n\n<li>Sixth: 2.5 to 3 feet<\/li>\n\n\n\n<li>Seventh: 3 to 3.5 feet<\/li>\n\n\n\n<li>Eighth: 3.5 to 4 feet<\/li>\n<\/ul>\n\n\n\n<p>Each time you slice a \u00bd-foot piece, you\u2019re using up part of the sandwich. After 8 pieces, you&#8217;ve used the full 4 feet.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83e\uddee General Rule:<\/h3>\n\n\n\n<p>If you\u2019re cutting an item of length <strong>L<\/strong> into pieces of length <strong>s<\/strong>, the number of pieces is: Ls\\frac{L}{s}<\/p>\n\n\n\n<p>Here: 412=8\\frac{4}{\\frac{1}{2}} = 8<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Final Answer<\/strong>: \u2705 <strong>8 servings<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A 4-foot-long sandwich is cut into servings that are each ; foot long. How many servings will there be after the sandwich is cut? The correct answer and explanation is: To solve the problem: Question:A 4-foot-long sandwich is cut into servings that are each \u00bd foot long.How many servings will there be after the sandwich [&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-21522","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21522","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=21522"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21522\/revisions"}],"predecessor-version":[{"id":21523,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21522\/revisions\/21523"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=21522"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=21522"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=21522"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}