How to Multiply Fractions

Multiplication of fractions is easier as compared to addition and subtraction of fractions: just multiply the numerators and multiply the denominators of the fractions. In the case of mixed numbers, you must convert the mixed number into an improper fraction before multiplying. Reduce the product to lowest terms as much as possible.

Fraction Multiplication Examples

Example 1:
 `1/6`

Explanation:

Multiply the numerators and multiply the denominators.
`4/9 × 3/8 = (4 × 3)/(9 × 8) = 12/72`
Reducing the product to lowest terms;
`12/72 = (2 × 2 × 3)/(2 × 2 × 2 × 3 × 3) = 1/(2 × 3) = 1/6`
Therefore, `4/9 × 3/8 = 1/6`

Example 2:
 4

Explanation:

Convert the mixed numbers into improper fractions.
`1 1/2 = ((1 × 2)+ 1)/2 = (2 + 1)/2 = 3/2`
`2 2/3 = ((2 × 3)+ 2)/3 = (6 + 2)/3 = 8/3`
Multiply the improper fractions.
`1 1/2 × 2 2/3 = 3/2 × 8/3 = 24/6 = 4`
Therefore, `1 1/2 × 2 2/3 = 4`






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