{"id":31383,"date":"2025-06-22T00:09:02","date_gmt":"2025-06-22T00:09:02","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=31383"},"modified":"2025-06-22T00:09:04","modified_gmt":"2025-06-22T00:09:04","slug":"a-construction-crew-has-just-finished-building-a-road","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/a-construction-crew-has-just-finished-building-a-road\/","title":{"rendered":"A construction crew has just finished building a road"},"content":{"rendered":"\n<p>A construction crew has just finished building a road. The crew worked for 9 days. If they built 4(1)\/(6) killometers of road each day, what is the total length of road they built? Write your answer as a mixed number in simplest form. kilometers<\/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: 41<\/strong><strong>2<\/strong>\/<strong>3<\/strong> kilometers<\/p>\n\n\n\n<p>To find the total length of road built by the construction crew, multiply the daily construction rate by the number of days worked.<\/p>\n\n\n\n<p><strong>Step 1: Identify the values<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Number of days = 9<\/li>\n\n\n\n<li>Daily road construction = 4<strong>1<\/strong>\/<strong>6<\/strong> kilometers<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 2: Convert the mixed number to an improper fraction<\/strong><br>4<strong>1<\/strong>\/<strong>6<\/strong> = (4 \u00d7 6 + 1)\/6 = <strong>25\/6<\/strong><\/p>\n\n\n\n<p><strong>Step 3: Multiply the daily rate by the number of days<\/strong><br>9 \u00d7 25\/6 = (9 \u00d7 25)\/6 = <strong>225\/6<\/strong><\/p>\n\n\n\n<p><strong>Step 4: Simplify the fraction<\/strong><br>225 \u00f7 3 = 75<br>6 \u00f7 3 = 2<br>So, 225\/6 = <strong>75\/2<\/strong><\/p>\n\n\n\n<p><strong>Step 5: Convert the improper fraction to a mixed number<\/strong><br>75 \u00f7 2 = 37 remainder 1<br>So, 75\/2 = <strong>37<\/strong> <strong>1<\/strong>\/<strong>2<\/strong><\/p>\n\n\n\n<p>But let\u2019s double-check the calculation.<br>Actually, the product of 9 \u00d7 25 = 225 is correct.<br>225 \u00f7 6 = 37.5 \u2192 as a fraction, this is <strong>37<\/strong> <strong>1<\/strong>\/<strong>2<\/strong><\/p>\n\n\n\n<p>It seems there is a contradiction because earlier we stated 41<strong>2<\/strong>\/<strong>3<\/strong>. That is incorrect. Let&#8217;s recalculate:<\/p>\n\n\n\n<p>Actually, 4<strong>1<\/strong>\/<strong>6<\/strong> is equal to 25\/6<br>Now, 9 \u00d7 25\/6 = 225\/6<br>225 \u00f7 6 = <strong>37.5<\/strong>, which is <strong>37<\/strong> <strong>1<\/strong>\/<strong>2<\/strong><\/p>\n\n\n\n<p>\u2705 <strong>Final Answer: 37<\/strong> <strong>1<\/strong>\/<strong>2<\/strong> kilometers<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>To find the total length of road built, multiply the amount built per day by the number of days. When multiplying a whole number by a fraction, convert the mixed number into an improper fraction to make multiplication easier. After multiplication, simplify the resulting fraction and then convert it back into a mixed number if necessary. Simplifying and expressing the final answer in mixed number form helps clearly show the total distance in a practical way. In this case, the construction crew built 37<strong>1<\/strong>\/<strong>2<\/strong> kilometers of road over the 9 days.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A construction crew has just finished building a road. The crew worked for 9 days. If they built 4(1)\/(6) killometers of road each day, what is the total length of road they built? Write your answer as a mixed number in simplest form. kilometers The correct answer and explanation is: Correct Answer: 412\/3 kilometers To [&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-31383","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/31383","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=31383"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/31383\/revisions"}],"predecessor-version":[{"id":31384,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/31383\/revisions\/31384"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=31383"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=31383"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=31383"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}