Compare fractions (same numerator) Quiz/Game
To compare fractions with the same numerator, the fraction with the smaller denominator is the larger fraction. This is because a smaller denominator means the whole is divided into fewer, larger parts, making each part greater in size. Scroll down the page for a more detailed explanation.
 
This game will show two fractions with the same numerator and ask you to select either the larger or smaller fraction. Fraction bars will also be shown to help reinforce the concept. It will also include a timer, a scoring system, and clear feedback to help you master this skill.
 

Fraction Comparison

Compare fractions with the same numerator.

Enable 60-Second Timer

Start Game

Score: 0 / 0

Time: 60

Check Next

Back to Menu

 

How to Play the Compare fractions with the same numerator Game
This game will show two fractions with the same numerator and ask you to select either the larger or smaller fraction. Fraction bars will also be shown to help reinforce the concept.
Here’s how to play:

1. Timed Option: Check the timer if you want to enable the 60 second timer. Click “Start Game”.
   
2. Look at the Problem: You will be given two fractions with the same numerator and an instruction to select either the larger or smaller fraction.
   
3. Enter Your Answer: Select the required fraction.
   
4. 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 the correct answer.
   
5. 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.
   
6. Back to Menu Click “Back to Menu” to restart the game.
    
   

How to compare fractions with the same numerator using models
To compare fractions with the same numerator, the fraction with the smaller denominator is the larger fraction. This is because a smaller denominator means the whole is divided into fewer, larger parts, making each part greater in size. For example, 1/2 is larger than 1/4 because a whole divided into two parts has larger pieces than a whole divided into four parts.
Here’s why this rule works:

1. Fewer Parts, Larger Pieces:
   Think of sharing a cake. If you cut a cake into 2 pieces (halves) and take one, your piece is much larger than if you cut the same cake into 4 pieces (fourths) and took one.
   
2. Denominator is the Number of Pieces:
   The denominator tells you how many equal parts the whole is divided into.
   
3. Same Number of Pieces, Larger Value:
   Since the numerator is the same for both fractions (meaning you’re taking the same number of pieces), the one with the larger pieces (the smaller denominator) will represent a greater portion of the whole.
    
   Example:
   5/6 vs. 5/8
   Here, the numerators are the same (both are 5).
   The denominators are different: 6 and 8.
   6 is smaller than 8.
   Therefore, a whole divided into 6 parts will have larger pieces than a whole divided into 8 parts.
   So, 5/6 is greater than 5/8.
    
   The following video will explain how to compare fractions with the same numerator using models.
   
   • Show Video
   
    
   

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