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When the numerator and the denominator of a fraction have no common factor other than one, the fraction is in lowest term such as 7/8.
In order to express a fraction in its lowest terms, divide the numerator and the denominator by the greatest common factor (GCF). For example:
Express 16/36 in lowest terms.
1) List the factors of the numerator.
The factors of 16 are 1, 2, 4, 8, and 16.
2) List the factors of the denominator.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36
3) Find the greatest common factor (GCF).
The greatest common factor to both 16mand 36 is 4.
The GCF is 4.
4) Divide the numerator and the denominator of the fraction by the GCF.
(16 ÷ 4)/(36 ÷ 4) = 4/9
5) Write the fraction in lowest terms.
4/9
16/36 is expressed in lowest terms is 4/9.
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