What is 52/81 Divided By 5/8

Solving $\frac{52}{81}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{81} \div \frac{5}{8} = \frac{52}{81} \times \frac{8}{5}$

• Multiply the Numerators: $52 \times 8 = 416$
• Multiply the Denominators: $81 \times 5 = 405$
• Form the New Fraction: $\frac{52}{81} \times \frac{5}{8} = \frac{416}{405}$

Simplify - Since $\frac{416}{405}$​ is already in its simplest form (there are no common factors between $416$ and $405$ other than $1$), this is the final answer.

Answer $\frac{52}{81}\div\frac{5}{8} = \frac{416}{405}$

The following animation demonstrates the divide-by,