# 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.