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To reduce a fraction to a simplified form, the numerator and denominator must have a common factor. Divide each by the greatest common factor.

Example: 8/12

The numbers 8 and 12 have common factors 2 and 4. The largest (GCF) is 4.

Dividing, you have

8 divided by 4 is 2

12 divided by 4 is 3

The simplest equivalent fraction is 2/3

Fractions are already in their simplest form when the numerator and denominator are said to be relatively prime or co-prime, that is they have no common factors (other than 1).

The fractions 3/5, 7/8, and 11/28 are therefore in their simplest form.

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Q: How can you use the GCF of the numerator and the denominator to write a fraction in simplest form?
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