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Add Fractions with Different Denominators

In this worksheet, students will practice adding fractions with different denominators by finding the lowest common multiple.

'Add Fractions with Different Denominators' worksheet

Key stage:  KS 2

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Add/Subtract Fractions

Difficulty level:  

Worksheet Overview

In this activity, we'll be tackling the topic of adding fractions with different denominators.

 

What does this yummy looking chocolate cake have to do with fractions?  Let's find out!

 

Chocolate cake with three segments cut out

 

Hopefully, we already know that you can't add fractions with different denominators.   

 

denominator tells us how many equal pieces make one whole. If you add the denominators when adding fractions, the new denominator won't describe how many equal pieces are in one whole.

 

So, we tackle this problem by finding the lowest common multiple to make both denominators the same.

 

Let's attempt one together:

Fractions with different Denominators

 

First, we look at the different denominators and we must find the lowest common multiple of  2 and  i.e. 

 

1 × 2 = 2

2 × 2 = 4

3 × 2 = 6

 

1 × 3 = 3

2 × 3 = 6

 

So, we've found our lowest common multiple is 6.  

 

Now, we need to make both our denominators 6.  The key rule to remember here is that whatever you do to the denominator, you must also do to the numerator.

 

Adding Fractions

 

So, if we apply the sums above we end up with:

 

Adding Fractions

 

Pretty simple right?

Now it's over to you. You can always return back to this explanation if you get stuck.

 

Good luck!

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