# Multiplying Fractions

To **multiply fractions** multiply separately numerators and separately denominators: `color(green)(a/b*c/d=(ac)/(bd))`.

After this you, possibly, need to reduce fraction.

**Note!** Rules for determining sign of the result are same as when multiplying integers.

**Example 1**. Find `4/5*7/8`.

`4/5*7/8=(4*7)/(5*8)=28/40`.

Now, reduce fraction: `28/40=7/10`.

**Answer**: `7/10`.

Next example.

**Example 2**. Find `16/5*9/11`.

`16/5*9/11=(16*9)/(5*11)=144/55`.

Fraction is irreducible, so we can just convert it to mixed number: `144/55=2 34/55`.

**Answer**: `144/55=2 34/55`.

Next example.

**Example 3**. Find `9/2*5/3`.

`9/2*5/3=(9*5)/(2*3)=45/6`.

Now, reduce fraction: `45/6=15/2`.

Convert to mixed number: `15/2=7 1/2`.

**Answer**: `15/2=7 1/2`.

Now, it is time to practice.

**Exercise 1**. Find `2/5*3/7`.

**Answer**: `6/35`.

Next exercise.

**Exercise 2**. Find `9/7*2/3`.

**Answer**: `6/7`.

Next example.

**Exercise 3**. Find `19/2*18/5`.

**Answer**: `171/5=34 1/5`.