Simplify Fractions Game
Simplifying fractions, also known as reducing fractions, is the process of making a fraction as simple as possible. Scroll down the page for a more detailed explanation. One way to simplify a fraction is to use the Greatest Common Factor (GCF). The GCF is the largest number that can divide evenly into both the numerator and the denominator. Another method is to use prime factors. Scroll down the page for a more detailed explanation.
 
This game will show you a fraction that you need to simplify. If you give a wrong answer, the game will provide a simple, step-by-step explanation to guide you to the correct answer. The game also allows you to enter the upper bound of the denominator to customize the difficulty of the game.
 
We have two versions of Simplify Fractions Game. This game will give the explanation using GCF. You can also check out this other Simplify Fractions Game that will give the explanation using prime factors.

Simplify Fractions (using GCF)

Simplify the fraction to its lowest terms.

Maximum Denominator:

Enable 60-Second Timer

Start Game

Score: 0 / 0

Time: 60

Check Next

Back to Menu

Here's how to solve it:

 

How to Play the Simplify Fractions Game
The game will show you one fraction. Your task is to simplify the fraction.
Here’s how to play:

1. Enter the maximum denominator: Enter a number to indicate the upper bound of the denominators.
   
2. Timed Option: Check the timer if you want to enable the 60 second timer. Click “Start Game”.
   
3. Look at the Problem: You’ll see one fraction. Your goal is to simplify the fraction.
   
4. Enter Your Answer: Enter in the answers for the numerator and the denominator.
   
5. Check Your Work: Click the Check button (or press the Enter key). The game will tell you if you’re correct. If you are wrong, you will be shown how to get the correct answer.
   
6. Get a New Problem: Click the Next button for a new problem.
   Your score is tracked at the top, showing how many you’ve gotten right out of the total you’ve tried.
7. Back to Menu Click “Back to Menu” to restart the game.
    
   

How to Simplify/Reduce Fractions
Simplify Fractions
A. Using Greatest Common Factor (GCF)
To simplify a fraction, find the greatest common factor (GCF) of the numerator and the denominator, and then divide both the numerator and the denominator by that GCF to get the fraction in its simplest form.

1. Find the GCF:
   To find the Greatest Common Factor (GCF) of two numbers, you can list all the factors for each number and identify the largest number that appears in both lists. Alternatively, you can use prime factorization, where you break down each number into its prime factors and then multiply the prime factors that are common to both.
   
2. Divide by the GCF:
   Divide both the numerator and the denominator of the fraction by the GCF.
   
3. Write the simplified fraction:
   The resulting numbers form the simplified fraction.
   Example: The simplified form of 12/20 is 3/5.

B. Using Prime Factors
To simplify a fraction using prime factors, first, write out the prime factorization of both the numerator and the denominator. Next, identify and cancel out any prime factors that are common to both the top and the bottom of the fraction. Finally, multiply the remaining factors in the numerator and the remaining factors in the denominator to get the simplified fraction.
Steps to simplify a fraction using prime factors:

1. Find the prime factorization of the numerator
   Break down the top number into its prime factors. For example, the prime factorization of 4 is 2 × 2.
   
2. Find the prime factorization of the denominator.
   Break down the bottom number into its prime factors. For example, the prime factorization of 6 is 2 × 3.
   
3. Write the fraction with its prime factors.
   For the example of 4/6, this would be (2 × 2) / (2 × 3).
   
4. Cancel out common factors.
   Look for prime factors that appear in both the numerator and the denominator and cross them out. In (2 × 2) / (2 × 3), there is one common factor of 2.
   
5. Multiply the remaining factors
   Multiply the factors left on the top and the factors left on the bottom separately to form the new, simplified fraction.
   In the example (2 × 2) / (2 × 3), after canceling a 2, you are left with 2 on top and 3 on the bottom, resulting in 2/3.
    
   

Why it Works
The reason this works is that you are dividing the fraction by a value of 1. You can think of 6/6 as being equal to 1. By dividing both the numerator and the denominator by the same number, you aren’t changing the fraction’s value—you’re just changing how it’s represented.
 

The video gives a clear, step-by-step approach to simplifying fractions using prime factors.

• Show Video

 

Free Fraction Games
Learning Fractions	Equivalent Fractions	Compare Fractions
Simplify Fractions	Greatest Common Factor	Least Common Multiple
Improper Fractions & Mixed Numbers	Add Fractions	Subtract Fractions
Subtract Fractions from Whole Numbers	Multiply Fractions	Divide Fractions
Multiply Fractions & Whole Numbers	Divide Fractions & Whole Numbers	Add Mixed Numbers
Subtract Mixed Numbers	Multiply Mixed Numbers	Divide Mixed Numbers

 

Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.