How to Solve Fraction Word Problems

Fraction word problems are easier when you first decide whether the story is combining, comparing, sharing, or finding part of a whole.

Quick idea

Words like of often mean multiplication, while total or altogether may mean addition.

Steps

1. Identify what the fraction describes.
2. Decide whether you are adding, subtracting, multiplying, or dividing.
3. Write the fraction operation.
4. Solve and answer with the correct unit.

Worked example

Find two thirds of 18 students.

Full solution

Step-by-step walkthrough

Step 1

The word of means multiply.

Step 2

One third of 18 is 6, so two thirds is 12.

Step 3

The answer is 12 students.

Common mistake

The same numbers can mean different operations depending on the story. Always identify what the fraction is describing.

Practice problems

1. Find 1/4 of 20.
2. A cake has 3/8 left and 1/8 is eaten. How much remains?
3. There are 24 students and 2/3 play a sport. How many play a sport?

Answers

1. 5
2. 1/4
3. 16

Ask Pennpaper to explain it live

If the steps make sense but you still feel stuck, start a Pennpaper lesson and ask the tutor to draw the problem on the whiteboard. Seeing the symbols move step by step is often what makes the concept click.

Related guides

• How to Multiply Fractions
• How to Subtract Fractions Step by Step
• How to Solve Math Word Problems