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Multiplying Fractions




 
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More Lessons for Arithmetic

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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 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 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:



Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other 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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