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Multiplying Fractions

When two fractions are multiplied, we multiply together the numerators of the fractions to form the new numerator and we do the same for the denominators.

Example :

Multiplying Fractions with Cancelling

Sometimes we can make the multiplication easier if some of the numbers can be simplified by cancelling out factors common to both the numerator and the denominator in any of the fractions.

The following video shows more examples of multiplying fractions with and without cancelling:

Squares of Fractions

Fractions can also be squared. Both the numerator and denominator are squared to give the result.

Note that if a positive fraction with a value less than 1 is squared then the result is less than the original value, for example:

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