## A fraction is in its simplest Form when it's Numerator and denominator have no common factors other than 1.

A fraction is in simplest form when the top and bottom of the fraction are whole numbers that are Coprime to each other.

Finding the simplest form of any fraction is a simple method. We need to simplify the numerator and denominator of the fraction by dividing both the numerator and denominator by the greatest common factor that divides them completely. After division both the numerator and denominator should remain whole numbers. This method of simplifying fractions is also known as reducing fractions.

Fractions such as 1/7, 3/5, 5/9 are All fractions in their simplest Form.

In 1/7, there is no common factors of 1 and 7 (except 1). likewise, the only common factors of 3 and 5 in 3/5 is 1 and of 5 and 9 in 5/9 is 1.

**Example:** express fraction 6/8 in their simplest Form.

**Solution: **

**Step 1 -*** find the factors of Numerator 6 The factors are 1,2,3,6.*

**Step 2 - ***find the factors of denominator 8 The factors are 1,2,4,8.*

**Step 3 - ***find the common factor of 6 and 8 The common factor is 2.*

**Step 4 -*** divide both (Numerator 6 and denominator 8) by the common Factor 2.*

**Step 5 - ***We find 6÷2=3 and 8÷2=4.*

**Step 6 -*** now check the common factor of 3 and 4 there is no common Factor except 1.*

**Now we can write 3/4 is the simplest Form of 6/8.**

## Comments