5/8÷3/4

Answer 1

To divide $\frac{5}{8}$ by $\frac{3}{4}$, you can multiply by the reciprocal of the second fraction.

Here are the steps:

1. Write the division as multiplication by the reciprocal: $$\frac{5}{8}÷\frac{3}{4}=\frac{5}{8}\times \frac{4}{3}$$

2. Multiply the numerators and the denominators: $$=\frac{5\times 4}{8\times 3}=\frac{20}{24}$$

3. Simplify the fraction: $$\frac{20}{24}=\frac{5}{6}\text{(by dividing both the numerator and denominator by 4)}$$

Thus, $\frac{5}{8}÷\frac{3}{4}=\frac{5}{6}$.