1. Decrease the nominator and denominator equal number times. You know that 6=2·3 and 9=3·3. Then
\(\dfrac{6}{9}=\dfrac{2\cdot 3}{3\cdot 3}=\dfrac{2}{3}.\)
This form of a fraction is the simpliest form.
2. Increase the nominator and denominator equal number times.
\(\dfrac{6}{9}=\dfrac{6\cdot 3}{9\cdot 3}=\dfrac{18}{27}.\)