What is 74/83 Divided By 5/8

Solving $\frac{74}{83}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{83} \div \frac{5}{8} = \frac{74}{83} \times \frac{8}{5}$

• Multiply the Numerators: $74 \times 8 = 592$
• Multiply the Denominators: $83 \times 5 = 415$
• Form the New Fraction: $\frac{74}{83} \times \frac{5}{8} = \frac{592}{415}$

Simplify - Since $\frac{592}{415}$​ is already in its simplest form (there are no common factors between $592$ and $415$ other than $1$), this is the final answer.

Answer $\frac{74}{83}\div\frac{5}{8} = \frac{592}{415}$

The following animation demonstrates the divide-by,