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Multiplying Fractions

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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 Canceling

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

Multiply Fractions Canceling

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

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:

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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