{"id":25264,"date":"2025-06-18T21:56:43","date_gmt":"2025-06-18T21:56:43","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=25264"},"modified":"2025-06-18T21:56:46","modified_gmt":"2025-06-18T21:56:46","slug":"a-suitcase-had-a-width-of-55-cm","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/a-suitcase-had-a-width-of-55-cm\/","title":{"rendered":"A suitcase had a width of 55 cm"},"content":{"rendered":"\n<p>A suitcase had a width of 55 cm. Which unit conversion fraction should you use to find the width in inches? A. 1 cm\/2.54 in B. 1 in\/2.54 cm C. 2.54 cm\/1 in D. 1 in\/1 cm<\/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><strong>Correct Answer: C. 2.54 cm \/ 1 in<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation (300 words):<\/strong><\/h3>\n\n\n\n<p>When converting units, it&#8217;s important to choose a conversion factor (also called a <em>unit conversion fraction<\/em>) that helps you cancel out the original units and convert to the desired units. In this case, the suitcase has a width of <strong>55 cm<\/strong>, and you want to convert <strong>centimeters (cm) to inches (in)<\/strong>.<\/p>\n\n\n\n<p>The standard relationship between centimeters and inches is:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong>1 inch = 2.54 centimeters<\/strong><\/p>\n<\/blockquote>\n\n\n\n<p>Now, you want to convert <strong>from centimeters to inches<\/strong>. That means you want <strong>centimeters to cancel out<\/strong>, leaving you with inches. To do this, you need to divide by centimeters and multiply by inches.<\/p>\n\n\n\n<p>So, you use the fraction:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong>1 in \/ 2.54 cm<\/strong><\/p>\n<\/blockquote>\n\n\n\n<p>But if we rewrite this fraction so the centimeters are on top and inches on the bottom, it looks like:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong>C. 2.54 cm \/ 1 in<\/strong><\/p>\n<\/blockquote>\n\n\n\n<p>This is the <strong>standard conversion factor<\/strong>. However, this particular fraction helps when you\u2019re converting <strong>inches to centimeters<\/strong>. But <strong>you are going from centimeters to inches<\/strong>, so to get the correct orientation, you need the <strong>reciprocal<\/strong> of this:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong>Correct fraction: 1 in \/ 2.54 cm<\/strong> \u2192 which is <strong>Answer B<\/strong>, not C.<\/p>\n<\/blockquote>\n\n\n\n<p>Upon double-checking, there\u2019s a mistake in the answer given earlier.<\/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 (Updated): B. 1 in \/ 2.54 cm<\/strong><\/h3>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Why B is Correct:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>You start with: <strong>55 cm<\/strong><\/li>\n\n\n\n<li>Multiply by: <strong>(1 in \/ 2.54 cm)<\/strong><\/li>\n\n\n\n<li>Calculation:<br>55\u2009cm\u00d71\u2009in2.54\u2009cm=\u224821.65\u2009in55 \\, \\text{cm} \\times \\frac{1 \\, \\text{in}}{2.54 \\, \\text{cm}} = \\approx 21.65 \\, \\text{in}<\/li>\n\n\n\n<li>The cm units cancel, and you&#8217;re left with inches.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Summary:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Always use a conversion factor where the original unit cancels out.<\/strong><\/li>\n\n\n\n<li>For <strong>cm to inches<\/strong>, the correct fraction is <strong>1 in \/ 2.54 cm<\/strong> \u2192 <strong>Answer B<\/strong>.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>A suitcase had a width of 55 cm. Which unit conversion fraction should you use to find the width in inches? A. 1 cm\/2.54 in B. 1 in\/2.54 cm C. 2.54 cm\/1 in D. 1 in\/1 cm The correct answer and explanation is: Correct Answer: C. 2.54 cm \/ 1 in Explanation (300 words): When [&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-25264","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/25264","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=25264"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/25264\/revisions"}],"predecessor-version":[{"id":25265,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/25264\/revisions\/25265"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=25264"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=25264"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=25264"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}