We have added and subtracted fractions. In this

lesson we will multiply fractions. When we add and subtract fractions, we count how many of the same size parts there are. When we

multiply fractions, the sizes of the parts change. Consider this multiplication problem:

How much is one half of one half?

How much is one-half of one-half?

Using a fraction manipulative, we show

one-half of a circle.To find one- half of one- half, we

divide the half in half.

Written out the Problem looks like this:

1 1 1

2 2 4

X =

We see this equals one-

fourth.

What fraction is one half of three fourths?

Using a fraction manipulative, we show

three fourths of a circle.

To find one half of three fourths, we divide each fourth

in half.Since one half of one fourth is one

eighth, one half of three fourths is three eighths. We may also find one half of

three fourths by multiplying.1 3 3

2 4 8

X =

EXAMPLE 1:

Multiply:

We find two thirds of four fifths by multiplying.

2 4

3 5

X =

EXAMPLE 2:

2 4 8

3 5 15

X =

Now You’re Cooking!

3/5

x 1/2

Now that you know how to multiply

fractions, let’s try some together.

1/3

x 2/3

2/9 3/10

2/3

x 2/3

4/9

1/2

x 2/2

2/4

3/4

x 1/2

3/8

1/2

x 1/3

1/6

1/2

x 1/4

1/8