Fraction Division 845Fdb

1. **State the problem:** We need to divide the fraction $\frac{7}{8}$ by the fraction $\frac{1}{5}$. 2. **Recall the division of fractions rule:** Dividing by a fraction is the same as multiplying by its reciprocal. So, $$\frac{7}{8} \div \frac{1}{5} = \frac{7}{8} \times \frac{5}{1}$$ 3. **Multiply the numerators and denominators:** $$\frac{7 \times 5}{8 \times 1} = \frac{35}{8}$$ 4. **Simplify if possible:** $\frac{35}{8}$ is an improper fraction and cannot be simplified further. 5. **Convert to mixed number (optional):** $$35 \div 8 = 4 \text{ remainder } 3$$ So, $$\frac{35}{8} = 4 \frac{3}{8}$$ **Final answer:** $\frac{7}{8} \div \frac{1}{5} = \frac{35}{8} = 4 \frac{3}{8}$