1. **State the problem:** Multiply the fractions $\frac{7}{8}$ and $\frac{6}{1}$. 2. **Formula used:** To multiply fractions, multiply the numerators together and the denominators together: $$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$$ 3. **Apply the formula:** $$\frac{7}{8} \times \frac{6}{1} = \frac{7 \times 6}{8 \times 1} = \frac{42}{8}$$ 4. **Simplify the fraction:** Find the greatest common divisor (GCD) of 42 and 8, which is 2. Divide numerator and denominator by 2: $$\frac{42 \div 2}{8 \div 2} = \frac{21}{4}$$ 5. **Final answer:** The product of $\frac{7}{8}$ and $\frac{6}{1}$ is $\frac{21}{4}$ or as a mixed number $5 \frac{1}{4}$.