Dividing fractions word problems


Dividing 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

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