Convert between Improper Fractions and Mixed Numbers Game
To convert an improper fraction to a mixed number, divide the numerator by the denominator, use the quotient as the whole number, and the remainder as the new numerator with the original denominator. To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator to that product, and use this sum as the new numerator over the original denominator. Scroll down the page for a more detailed explanation.
 
This game will randomly present either an improper fraction or a mixed number. You need to convert either the improper fraction to a mixed number or convert the mixed number to an improper fraction. 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.
 

Fraction Conversions

Convert between mixed numbers and improper fractions.

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 Convert between Improper Fractions and Mixed Numbers Game
The game will show you an improper fraction or a mixed number. Your task is to convert either the improper fraction to a mixed number or convert the mixed number to an improper 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 an improper fraction or a mixed number. Convert either the improper fraction to a mixed number or convert the mixed number to an improper fraction.
   
4. Enter Your Answer: Enter in the improper fraction or the mixed number.
   
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 convert between improper fractions and mixed numbers
Convert between mixed number and improper fractions
Improper Fraction to Mixed Number

1. Divide the numerator by the denominator.
2. Write the quotient as the whole number part of the mixed number.
3. Use the remainder as the numerator of the fraction.
4. Keep the original denominator.
    
   

Mixed Number to Improper Fraction

1. Multiply the whole number by the denominator.
2. Add this product to the numerator.
3. Use this sum as the new numerator.
4. Keep the original denominator.
    
   

The video gives a clear, step-by-step approach to convert between improper fractions and mixed numbers.

• 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

 

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