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Multiplying improper fractions by proper fractions

How to multiply improper fractions by proper fractions?

Multiplying improper fractions by proper fractions is easy.

We multiply the numerator by the numerator and the denominator by the denominator and convert the result to a mixed fraction.

Examples of multiplying improper fractions by proper fractions

Example 1.

Multiply an improper fraction by a proper fraction:

5 * 3
24

We multiply the numerator 5 by the numerator 3 and the denominator 2 by the denominator 4:

5 * 3 = 15
2 * 48

Convert the improper fraction into a mixed fraction:

15 = 17
88

Example 2.

Multiply an improper fraction by a proper fraction:

10 * 14
317

We multiply the numerator 10 by the numerator 14 and the denominator 3 by the denominator 17:

10 * 14 = 140
3 * 1751

Convert the improper fraction into a mixed fraction:

140 = 238
5151

Example 3.

Multiply an improper fraction by a proper fraction:

9 * 23
224

We multiply the numerator 9 by the numerator 23 and the denominator 2 by the denominator 24:

9 * 23 = 69
2 * 2416

Convert the improper fraction into a mixed fraction:

69 = 45
1616