When adding and subtracting fractions, we must ensure that we have the same denominator.

Step 1: Multiply the two terms on the bottom to get the same denominator:

Step 2: Multiply the top number on the first fraction with the bottom number of the second fraction to get the new top number of the first fraction:

Step 3: Multiply the top number on the second fraction with the bottom number of the first fraction to get the new top number of the second fraction:

Step 4: Now add/subtract the top numbers and keep the bottom number so that you now have one fraction:

Step 5: Simplify the fraction if required.

Use the information above the help with the example questions below.

Question

Calculate

There is also the possibility of sometimes using a common multiple.

Question

Calculate

The denominators 4 and 6 have common multiple 12.

is equivalent to

is equivalent to

So

Question

Calculate

Method one

Method two

As the denominators 3 and 6 have common multiple 6 we can use this multiple as our new denominator.

Also is equivalent to

So we get

Question

Calculate

We add the whole number parts first and the add on the fractions.