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In this activity, we will be solving a variety of number problems.

 

Example

 

Which fraction is larger? A =
3
9
or B =
6
7

 

Answer

There are two ways we could work this out.

 

Method 1: Turn them into decimals.

 

3 ÷ 9 = 0.33333333.....

6 ÷ 7 = 0.8571428......, which is larger.

So, the answer is B

 

Method 2: Give the two fractions a common denominator.

 

The lowest common multiple of 9 and 7 is 63, so that will be our new denominator.

We multiplied the 9 by 7 to get 63, so we multiply the 3 by 7 to get 21.

We multiplied the 7 by 9 to get 63, so we multiply the 6 by 9 to get 54.

 

We now have A = 21/63 and B = 54/63

 

So, we can see that B is indeed bigger.

 

There is often more than one way to solve a problem - choose the one that works best for you!

 

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10 questions