What is 53/57 Divided By 9/8

Solving $\frac{53}{57}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{57} \div \frac{9}{8} = \frac{53}{57} \times \frac{8}{9}$

• Multiply the Numerators: $53 \times 8 = 424$
• Multiply the Denominators: $57 \times 9 = 513$
• Form the New Fraction: $\frac{53}{57} \times \frac{9}{8} = \frac{424}{513}$

Simplify - Since $\frac{424}{513}$​ is already in its simplest form (there are no common factors between $424$ and $513$ other than $1$), this is the final answer.

Answer $\frac{53}{57}\div\frac{9}{8} = \frac{424}{513}$

The following animation demonstrates the divide-by,