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Reducing Fractions

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We can simplify a fraction by reducing it to its lowest term. That means to divide the numerator and denominator with the same number until the only common factor is 1, for example:

Usually, we divide the numerator and the denominator by the greatest common factor.

Example :

Express in lowest terms.


Step 1: Find the greatest common factor of the numerator and the denominator.

12: 1, 2, 3, 4, 6, 12

30: 1, 2, 3, 5, 6, 10, 15, 30

The GCF is 6

Step 2: Divide the numerator and denominator of the fraction by the GCF.

is in lowest terms.

The following videos show some examples of reducing fractions to the lowest terms.

Reducing Fractions
Fractions - Reducing Fractions To Lowest Terms
This video shows how to reduce a fraction to lowest terms by using multiplication and cancellation.

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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