Step 1 :Given the fraction \(\frac{21}{18}\).
Step 2 :Find the greatest common divisor (GCD) of 21 and 18, which is 3.
Step 3 :Divide both the numerator and the denominator by the GCD.
Step 4 :The simplified numerator is 7 and the simplified denominator is 6.
Step 5 :So, the simplified form of the fraction \(\frac{21}{18}\) is \(\boxed{\frac{7}{6}}\).