{"id":232220,"date":"2025-06-11T19:38:12","date_gmt":"2025-06-11T19:38:12","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=232220"},"modified":"2025-06-11T19:38:14","modified_gmt":"2025-06-11T19:38:14","slug":"if-it-takes-5-6-yards-of-fabric-to-make-a-dress-then-how-many-yards-will-it-take-to-make-8-dresses","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/11\/if-it-takes-5-6-yards-of-fabric-to-make-a-dress-then-how-many-yards-will-it-take-to-make-8-dresses\/","title":{"rendered":"If it takes 5\/6 yards of fabric to make a dress, then how many yards will it take to make 8 dresses"},"content":{"rendered":"\n

If it takes 5\/6 yards of fabric to make a dress, then how many yards will it take to make 8 dresses? a, 6 2\/3 b, 5 1\/2 c, 6 2\/4 d,3 2\/3<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

So, the correct answer is (a) 6 2\/3<\/strong> yards.<\/p>\n\n\n\n

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Explanation:<\/strong><\/p>\n\n\n\n

This type of problem involves multiplication of a whole number by a fraction, a concept often used in real-life applications such as tailoring, cooking, or construction. Here, we are told that it takes five-sixths of a yard<\/strong> to make one dress. To determine the total fabric required for eight dresses<\/strong>, we multiply the fabric needed for one dress by the total number of dresses: Total fabric=8\u00d756\\text{Total fabric} = 8 \\times \\frac{5}{6}Total fabric=8\u00d765\u200b<\/p>\n\n\n\n

When multiplying a whole number by a fraction, multiply the whole number by the numerator (top number of the fraction) and divide by the denominator (bottom number): 8\u00d756=8\u00d756=4068 \\times \\frac{5}{6} = \\frac{8 \\times 5}{6} = \\frac{40}{6}8\u00d765\u200b=68\u00d75\u200b=640\u200b<\/p>\n\n\n\n

Now, we simplify 406\\frac{40}{6}640\u200b. Both numbers are divisible by 2: 406=203\\frac{40}{6} = \\frac{20}{3}640\u200b=320\u200b<\/p>\n\n\n\n

To express this as a mixed number, divide 20 by 3:<\/p>\n\n\n\n