# How to reduce Fractions to Lowest Terms

A fraction is in its lowest or simplest term when the numerator and denominator have no common factors other than 1. We achieve this by dividing the numerator and denominator by its Greatest Common Factor (GCF), also called the Greatest Common Divisor (GFD).

##### Examples ## Reduce 18/27 to its lowest term.

#### Explanation:

Find the factors of 18 and 27. Now we reduce the fraction by dividing both the numerator and denominator by their greatest common factor, that is, 9.

18/ 27 = 2/3

2/3 is in its lowest form since 2 and 3 have no common factors other than 1.

## Reduce 36/56 to its lowest term

#### Explanation:

Find the factors of 36 and 56. Now we reduce the fraction by dividing both the numerator and denominator by their greatest common factor, that is, 4.

36/56 = 9/14

9/14 is in its lowest form since 9 and 14 have no common factors other than 1.

## Reduce 55/66 to its lowest term.

#### Explanation:

Find the factors of 55 and 66. Now we reduce the fraction by dividing both the numerator and denominator by their greatest common factor, that is, 11.

55/66 = 5/6

5/6 is in its lowest form since 5 and 6have no common factors other than 1.

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