Multiply Fractions Game
Multiplying fractions is often considered one of the easiest operations because you don’t need to find a common denominator first. You can think of it as a two-step process: multiply across, then simplify. Canceling is a powerful shortcut for multiplying fractions that can save you a lot of time and work. It’s especially useful with large numbers because it simplifies the problem before you multiply, so you don’t have to simplify a big fraction at the end. Scroll down the page for a more detailed explanation.
 
This game presents two fractions that you need to multiply. There are two answer modes: “Allow simplified” or “Require simplified”. If you give a wrong answer, the game will provide the correct answer. The game also allows you to enter the upper bound of the denominator to customize the difficulty of the game.
 

 

How to Play the Multiply Fractions Game
The game will show you two fractions. Your task is to multiply the fractions.
Here’s how to play:

1. Enter the maximum denominator: Enter a number to indicate the upper bound of the denominators.
   
2. Answer Mode: Select “Allow unsimplified” or “Require simplified”.
   
3. Timed Option: Check the timer if you want to enable the 60 second timer. Click “Start Game”.
   
4. Look at the Problem: You’ll see two fractions. Multiply the fractions
   
5. Enter Your Answer: Enter in the answers for the numerator and the denominator.
   
6. 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.
   
7. 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.
   
8. Back to Menu Click “Back to Menu” to restart the game.
    
   

How to multiply Fractions
Multiplying Fractions
To multiply fractions, you multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together to get a new fraction. Then, you simplify the resulting fraction by dividing the numerator and denominator by their greatest common factor (GCF) to get the final answer.
Steps for Multiplying Fractions
1. Multiply the numerators and denominators
Multiply the numerators together to get the new numerator.
Multiply the denominators together to get the new denominator.

\(\frac{\text{Numerator}_1}{\text{Denominator}_1} \times \frac{\text{Numerator}_2}{\text{Denominator}_2} = \frac{\text{Numerator}_1 \times \text{Numerator}_2}{{\text{Denominator}_1 \times \text{Denominator}_2} }\)

2. Simplify (Reduce) the Result
Reduce the new fraction to its simplest terms by dividing both the numerator and the denominator by their greatest common factor (GCF).
 
Example: Multiplying \(\frac{3}{4}\) by \(\frac{2}{9}\)
\(\frac{3}{4} \times \frac{2}{9} = \frac{3 \times 2}{4 \times 9} = \frac{6}{36}\)
Simplify the fraction
\(\frac{6}{36} = \frac{1}{6}\)

 

How to multiply Fractions using Canceling
Canceling is a shortcut for multiplying fractions that can save you a lot of time and work. It’s especially useful with large numbers because it simplifies the problem before you multiply, so you don’t have to simplify a big fraction at the end.
This method relies on the fundamental property of fractions: you can divide the numerator and denominator by the same number without changing the fraction’s value. In this case, you can divide any numerator with any denominator.
 
Example:
\(\frac{3}{4} \times \frac{2}{9}\)
Cancel 3 and 9 with the GCF of 3
Cancel 2 and 4 with the GCF of 2
The new, simpler problem is:
\(\frac{1}{2} \times \frac{1}{3} = \frac{1 \times 1}{2 \times 3} = \frac{1}{6}\)
 

The video gives a clear, step-by-step approach to multiplying fractions using cancellation.

• 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.

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