## How to Convert Fractions to Lowest Terms

In the Civil Service Examination and in many mathematics examinations, results that are fractions are usually required to be converted to their lowest terms.  The numerator and the denominator of a fraction in lowest terms cannot be divided by any  similar integer. Knowledge of divisibility rules can be helpful in this process.

Example 1: Convert $\frac{6}{9}$ to lowest terms.

In the first example, we can see that the numerator and the denominator are both divisible by 3. Dividing both the numerator and the denominator by 3 gives us 2/3.

$\displaystyle \frac{6 \div 3}{9 \div 3} = \frac{2}{3}$

Note that dividing both the numerator and the denominator by the same integer does not change the value of the fraction. Continue Reading