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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:

21 * 32
57

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

21 = 11
55

The second mixed fraction is equal to the improper fraction:

32 = 23
77

2. We multiply the improper fractions:

11 * 23
57

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

11 * 23 = 253
5 * 735

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

253 = 78
3535

The answer:

21 * 32 = 78
5735

Example 2.

Multiply mixed fractions with different denominators:

21 *35 = 
56
11 * 23 = 
56
253 =813
3030