# Simplest form

Both common fractions and algebraic expressions may be simplified, or written in simplest form.

### Common fractions

A common fraction is in simplest form when the greatest common factor of the numerator and the denominator is 1.

Example
To express in simplest form, think:
What is the greatest common factor (GCF) of 6 and 8? The answer is 2. Use 2 as the numerator and denominator of a common fraction ( ). This common fraction is equivalent to 1.
 Divide by this value for 1. Think: What is the greatest common factor of 3 and 4? is expressed in simplest form as .

### Did you know?

Many years ago, expressing a fraction in simplest form was called "reducing the fraction." However, the fraction is not reduced — its value stays the same! That's why we no longer use the expression "reducing the fraction."

An expression is in simplest form when no terms can be combined.

Example
To express 3 + (2 × 5) in simplest form:
First: perform the operation within parantheses.
 2 × 5 = 10