1. The problem involves multiplying the fractions $\frac{19}{6}$ and $\frac{2}{15}$, finding the GCF, and converting $\frac{5}{2}$ to a mixed number. 2. To multiply fractions, multiply the numerators and denominators: $$\frac{19}{6} \times \frac{2}{15} = \frac{19 \times 2}{6 \times 15} = \frac{38}{90}$$ 3. Simplify $\frac{38}{90}$ by dividing numerator and denominator by their GCF. The GCF of 38 and 90 is 2: $$\frac{\cancel{38}^{19}}{\cancel{90}^{45}} = \frac{19}{45}$$ 4. So, $\frac{19}{6} \times \frac{2}{15} = \frac{19}{45}$. 5. The GCF given is 2, which we used to simplify the fraction. 6. To write $\frac{5}{2}$ as a mixed number, divide 5 by 2: $$5 \div 2 = 2 \text{ remainder } 1$$ 7. So, $\frac{5}{2} = 2 \frac{1}{2}$. Final answers: - $\frac{19}{6} \times \frac{2}{15} = \frac{19}{45}$ - GCF = 2 - $\frac{5}{2}$ as a mixed number is $2 \frac{1}{2}$