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Dividing fractions word problemsDividing fractions word problems arise in numerous situations. We will show you some examples. I recommend that before starting this lesson, review division of fractions Example #1: An Italian sausage is 8 inches long. How many pieces of sausage can be cut from the 8-inch piece of sausage if each piece is to be two-thirds of an inch ? Solution Since you are trying to find out how many two-thirds there are in 8, it is a division of fractions problem. So, divide 8 by 2/3 8 ÷ 2/3 = 8/1 ÷ 2/3 = 8/1 × 3/2 = 24/2 = 12 Therefore, you can make 12 pieces having a length of 2/3 inches Example #2 How many halves are there in six-fourth? Again, since you are trying to find out how many halves there are in six-fourth, it is a division of fractions problem. So, divide 6/4 by 1/2 6/4 ÷ 1/2 = 6/4 × 2/1 = 12/4 = 3 Therefore, there are 3 halves in six-fourth Example #3: An airplane covers 50 miles in 1/5 hours. How many miles can the airplane cover in 5 hours? This problem is a combination of division and multiplication of fractions First, find out how many fifths (1/5) are there in 5. This is a division of fractions problem So, divide 5 by 1/5 5 ÷ 1/5 = 5/1 ÷ 1/5 = 5/1 × 5/1 = 25/1 = 25 Then, multiply 50 by 25 to get 1250 In 5 hours, the airplane will cover 1250 miles Have A Great Basic Math Word Problem?Share it here with a very detailed solution!
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