What is 52/85 Divided By 9/8

Solving $\frac{52}{85}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{85} \div \frac{9}{8} = \frac{52}{85} \times \frac{8}{9}$

• Multiply the Numerators: $52 \times 8 = 416$
• Multiply the Denominators: $85 \times 9 = 765$
• Form the New Fraction: $\frac{52}{85} \times \frac{9}{8} = \frac{416}{765}$

Simplify - Since $\frac{416}{765}$​ is already in its simplest form (there are no common factors between $416$ and $765$ other than $1$), this is the final answer.

Answer $\frac{52}{85}\div\frac{9}{8} = \frac{416}{765}$

The following animation demonstrates the divide-by,