Compare Fractions with Related Denominators

In this worksheet, we will learn how to compare fractions whose denominators are all multiples of the same number.

We will not be converting the fractions to decimals, but will use the idea of equivalent fractions.

 

Remember, multiply or divide the top and the bottom of a fraction by the same number to change it to an equivalent fraction.

 

Example

Is the following comparison true or false? 

 

4	>	7
6		9

 

Answer

We look for the smallest number that 6 and 9 go into.

This will be 18, so we change both fractions into 18ths.

 

We multiply top and bottom of 4 sixths by 3:

 

4	=	12
6		18

 

We multiply top and bottom of 7 ninths by 2:

 

7	=	14
9		18

 

Now

12	<	14
18		18

 

So the statement

4	>	7
6		9

is FALSE.