# Try some yourself

## Activity 44

Is the following statement true or false?

Adding the same number to the top and bottom of a fraction gives you an equivalent fraction.

### Answer

False. For example adding 2 to the top and bottom of gives . But is not equivalent to .

## Activity 45

Explain in your own words how to add two fractions, as if to someone who does not know how to do it.

### Answer

There are obviously many different ways of explaining this. For example one student said:

‘First look at the bottom number of each fraction. If these are the same, then this is also the bottom number of the answer. To get the top number in the answer, add the two top numbers in the given fractions.

‘If the bottom numbers are different, multiply the

topandbottomof the first fraction by thebottom numberof the second. Then multiply thetopandbottomof the second fraction by thebottomnumber of thefirst. Now the two fractions have thesame bottom numberso they can be added as above.’

Your wording may have been very different but it should have given instructions for the case when the denominators are the same and when they are not. Note that the method described here will always work, when bottom numbers are different, although in some cases a quicker method is possible.