# Multiplying and dividing fractions

## Multiplying fractions

of

of

Multiply the numerators to find the new numerator, multiply the denominators to find the new denominator, then simplify where necessary.
Question

Calculate

Now put the the answer into its simplest form:

## Dividing fractions

When you divide by , you are working out how many s there are in .

, so there are five s in .

In a similar way, when dividing by , you are working out how many s there are in .

There are four s in , so:

If you divide by you are working out how many s there are in .

There are six s in , so:

Do you see a pattern? Let's write out those calculations a different way.

• and , so is the same as
• , so is the same as

So, ' ' is the same as ‘ ’.

and ' ' is the same as ‘ ’.

To divide fractions, turn the second fraction upside down, then multiply.
Question

Calculate

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