# SBP-Program

## Multiplying mixed fractions with different denominators

How to multiply mixed fractions with different denominators?

Multiplying mixed fractions with different denominators is easy:

1. Convert both mixed fractions to improper fractions;
2. Multiply these improper fractions;
3. Convert the result to a mixed fraction.

### Examples of multiplying mixed fractions with different denominators

Example 1.

Multiply mixed fractions with different denominators:

 1 2 2 * 3 5 7

1. The first mixed fraction is equal to the improper fraction:

 1 11 2 = 5 5

The second mixed fraction is equal to the improper fraction:

 2 23 3 = 7 7

2. We multiply the improper fractions:

11 23 * 5 7

We multiply the numerator 11 by the numerator 23 and the denominator 5 by the denominator 7:

11 * 23 253 = 5 * 7 35

3. Convert the improper fraction 253/35 into a mixed fraction:

253 8 = 7 35 35

The answer:

 1 2 8 2 * 3 = 7 5 7 35

Example 2.

Multiply mixed fractions with different denominators:

1 5 11 23 2 * 3 = 5 6 * = 5 6 = 8 30 30