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Multiplication of fractions.

Multiplication of fraction and whole number.

Definition.
To multiply fraction by a whole number, it is necessary to multiply numerator by a whole number, and to leave without modifications a denominator. Simplify the fraction if needed.

Examples of multiplication fraction and integer

Example 1.
Find the product of fraction and natural number:
3 · 2 = 3 · 2 = 6
777

Example 2.
Find the product of fraction and natural number:
1 · 4 = 4 = 2·2 = 2
222


Multiplication of fractions.

Definition.

Examples of multiplication of fractions

Example 3.
Find the product of two fractions:
3 · 2 = 3 · 2 = 6
757 · 535

Example 4.
Find the product of two fractions:
10 · 3 = 10 · 3 = 2 · 5 · 3 = 5 = 5
949 · 42 · 2 · 3 · 32 · 36

See also:


Multiplication of mixed numbers.

Definition.

Examples of multiplication of mixed numbers

Example 5.
Find the product of two mixed numbers:
21 · 12 = 2 · 2 + 1 · 1 · 3 + 2 = 5 · 5 = 5 · 5 = 25 = 6 · 4 + 1 = 41
2323232 · 3666

Example 6.
Find the product of mixed number and integer:
41 · 6 = 4 · 3 + 1 · 6 = 13 · 6 = 26
333

Example 7.
Find the product of mixed number and fraction:
21 · 3 = 2 · 7 + 1 · 3 = 15 · 3 = 15 · 3 = 3 · 3 = 9 = 7 + 2 = 12
7575757 · 57777

See also:

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