Multiplying Mixed Numbers

Related Calculator: Fractions Calculator

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

Example 1. Find `2 4/5*7/8`.

First number is mixed: convert it into improper fraction: `2 4/5=14/5`.

`14/5*7/8=(14*7)/(5*8)=98/40`.

Now, reduce fraction: `98/40=49/20`.

Convert to mixed number: `49/20=2 9/20`.

Answer: `49/20=2 9/20`.

Next example.

Example 2 . Find `3 8/9*2 1/5`.

Convert both numbers into improper fractions: `3 8/9=35/9` and `2 1/5=11/5`.

Now, multiply fractions: `35/9*11/5=(35*11)/(9*5)=385/45`

Reduce fraction: `385/45=77/9`.

Convert to mixed number: `77/9=8 5/9`.

Answer: `77/9=8 5/9`.

Next example.

Example 3. Find `2 1/3*(-3 1/4)`.

Convert both numbers into fractions: `2 1/3=7/3` and `-3 1/4=-13/4`.

Multiply fractions: `7/3*(-13/4)=(7*(-13))/(3*4)=-91/12`.

Fraction is irreducible.

Convert to mixed number: `-91/12=-7 7/12`.

Answer: `-91/12=-7 7/12`.

Now, it is time to practice.

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

Answer: `28/5=5 3/5`.

Next exercise.

Exercise 2. Find `-1 4/7*1 4/5`.

Answer: `-99/35=-2 29/35`.

Next example.

Exercise 3. Find `-9 1/2*(-3 3/5)`.

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