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 ?


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!

[ ? ]

Upload 1-4 Pictures or Graphics (optional)[ ? ]


Click here to upload more images (optional)

Author Information (optional)

To receive credit as the author, enter your information below.

(first or full name)

(e.g., City, State, Country)

Submit Your Contribution

 submission guidelines.

(You can preview and edit on the next page)

What Other Visitors Have Said

Click below to see contributions from other visitors to this page...

pizza :} 
3 friends share 4/5 of a pizza. what fraction of pizza does each person get? The amount to share is 4/5 Since the amount will be shared between 3 …

solve word problem Not rated yet
If a number is added to the numerator of 11/64 and twice the number is added to the denominator of 11/64, the resulting fraction is equivalent to 1/5. …

Click here to write your own.

Page copy protected against web site content infringement by Copyscape

Bookmark and Share