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



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...

Word Problems anf fractions 
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 …

12 Pieces of Chalk 
Ming and Chuck were walking home one afternoon and decided to draw a chalk line on the road from school to Chuck's house. They started out with a box …

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 …

Super Stars 
On June 21st, there were 9/10 of a billion stars visible to the naked eye. On December 21st, there were 4/5 of a billion stars out visible to the naked …

Click here to write your own.





Recent Articles

  1. How to estimate fractions

    Dec 11, 17 08:45 AM

    Learn how to estimate fractions with this easy to follow lesson.

    Read More

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

            Follow me on Pinterest





Recent Lessons

  1. How to estimate fractions

    Dec 11, 17 08:45 AM

    Learn how to estimate fractions with this easy to follow lesson.

    Read More

  Our Top Pages

Formula for percentage

Compatible numbers

Basic math test

Basic math formulas

Types of angles

Math problem solver

Algebra word problems

Surface area of a cube

Finding the average 

Scale drawings

Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!


Everything you need to prepare for an important exam!

K-12 tests, GED math test, basic math tests, geometry tests, algebra tests. 


Real Life Math Skills

Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.

 Recommended

Scientific Notation Quiz

Types of Angles Quiz

Graphing Slope Quiz

Adding and Subtracting Matrices Quiz  

Factoring Trinomials Quiz 

Solving Absolute Value Equations Quiz  

Order of Operations Quiz