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Multiply fraction by whole number

How to multiply fractions with whole numbers? How to multiply fractions by integers?

Rule for multiplying fractions by whole numbers:

Multiply the numerator by the whole number.

See What is the denominator of a whole number?

Examples of multiplying fractions by whole numbers

Example 1: Multiplication of the fraction by the whole number:

2 * 1
3

We can write

2 * 1
13

Multiply the numerator 2 by the numerator 1 and the denominator 1 by the denominator 3:

2 * 1
1 * 3

and we obtain

2
3

The answer:

2 * 1 = 2
33

Example 2.

Multiplication of fraction by integer:

12 * 5
15

We can write

12 * 5
151

We multiply the numerator 12 by the numerator 5 and the denominator 15 by the denominator 1:

12 * 5
15 * 1

We can simplify this fraction

4 * (3 * 5) = 4
(3 * 5)