# Multiplying Fractions

Multiply the tops, multiply the bottoms.

### There are 3 simple steps to multiply fractions

1. Multiply the top numbers (the numerators).

2. Multiply the bottom numbers (the denominators).

3. Simplify the fraction if needed.

### Example:

 1 × 2 2 5

Step 1. Multiply the top numbers:

 1 × 2 = 1 × 2 = 2 2 5

Step 2. Multiply the bottom numbers:

 1 × 2 = 1 × 2 = 2 2 5 2 × 5 10

Step 3. Simplify the fraction:

 2 = 1 10 5

### With Pizza

Here you can see it with pizza ...

... and do you see how two-tenths is simpler as one-fifth?

### With Pen and Paper

And here is how to do it with a pen and paper (press the play button):

### Another Example

 1 × 9 3 16

Step 1. Multiply the top numbers:

 1 × 9 = 1 × 9 = 9 3 16

Step 2. Multiply the bottom numbers:

 1 × 9 = 1 × 9 = 9 3 16 3 × 16 48

Step 3. Simplify the fraction:

 9 = 3 48 16

(This time we simplified by dividing both top and bottom by 3)

## The Rhyme

"Multiplying fractions: no big problem,
Top times top over bottom times bottom.

"And don't forget to simplify,
Before it's time to say goodbye"

## Fractions and Whole Numbers

What about multiplying fractions and whole numbers?

Make the whole number a fraction, by putting it over 1.

 Example: 5 is also 5 1

Then continue as before.

### Example:

 2 × 5 3

Make 5 into 5/1 :

 2 × 5 3 1

Now just proceed as normal.

Multiply tops and bottoms:

 2 × 5 = 2 × 5 = 10 3 1 3 × 1 3

The fraction is already as simple as it can be.

Or you can just think of the whole number as being a "top" number:

### Example:

 3 × 2 9

Multiply tops and bottoms:

 3 × 2 = 3 × 2 = 6 9 9 9

Simplify:

 6 = 2 9 3

## Mixed Fractions

You can also read how to multiply mixed fractions

Worksheets