Multiplying Fractions

Related Calculator: Fractions Calculator

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`.