# 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  ×  2 5   =   1 × 2     =   2

Step 2. Multiply the bottom numbers:

1 2  ×  2 5   =   1 × 2 2 × 5   =   2 10

Step 3. Simplify the fraction:

2 10 = 1 5

### With Pizza

Here you can see it with pizza ... Do you see that half of two-fifths is two-tenths?
Do you also see that 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 3 × 9 16

Step 1. Multiply the top numbers:

1 3  ×  9 16   =   1 × 9     =   9

Step 2. Multiply the bottom numbers:

1 3  ×  9 16   =   1 × 9 3 × 16   =   9 48

Step 3. Simplify the fraction:

9 48 = 3 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 3  ×  5

Make 5 into 5 1 :

2 3  ×  5 1

Now just go ahead as normal.

Multiply tops and bottoms:

2 3  ×  5 1   =   2 × 5 3 × 1   =   10 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 9   =   3 × 2 9   =   6 9

Simplify:

6 9 = 2 3

## Mixed Fractions

You can also read how to multiply mixed fractions

Worksheets