1. The problem is to simplify the fraction $\frac{30}{24}$. 2. To simplify a fraction, we divide the numerator and denominator by their greatest common divisor (GCD). 3. Find the GCD of 30 and 24. - Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30 - Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 - The greatest common factor is 6. 4. Divide numerator and denominator by 6: $$\frac{30}{24} = \frac{\cancel{6} \times 5}{\cancel{6} \times 4} = \frac{5}{4}$$ 5. The simplified fraction is $\frac{5}{4}$. 6. This means $\frac{30}{24}$ is equivalent to $1 \frac{1}{4}$ as a mixed number.