Lowest Terms (Fraction)
Definition

A fraction is expressed in lowest terms (or simplest form) when it is reduced.

A fraction is reduced when the greatest common factor of the numerator and denominator is one.


Example One (Proper Fraction)
Proper fraction question

The greatest common factor of six and eight is two. Dividing both the numerator and denominator by two yields the following:


A proper fraction expressed in lowest terms
Proper fraction answer

Example Two (Improper Fraction)
Improper fraction question

The greatest common factor of twenty and eight is four. Dividing both the numerator and denominator by four yields the following:


An improper fraction expressed in lowest terms
Improper fraction answer

Example Three (Mixed Number)
Mixed number question

The greatest common factor of fifteen and twenty is five. Dividing both the numerator and denominator by five yields the following:


A mixed number expressed in lowest terms
Mixed number answer

Demonstration
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