1. The problem is to simplify the fraction $\frac{30}{6}$. 2. The formula for simplifying a fraction $\frac{a}{b}$ is to divide both numerator and denominator by their greatest common divisor (GCD). 3. Find the GCD of 30 and 6. Since 6 divides 30 exactly, $\text{GCD}(30,6) = 6$. 4. Divide numerator and denominator by 6: $$\frac{30}{6} = \frac{30 \div 6}{6 \div 6} = \frac{5}{1}$$ 5. Any number divided by 1 is the number itself, so $\frac{5}{1} = 5$. 6. Therefore, the simplified form of $\frac{30}{6}$ is 5.