What is 52/89 Divided By 3/5

Solving $\frac{52}{89}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{89} \div \frac{3}{5} = \frac{52}{89} \times \frac{5}{3}$

• Multiply the Numerators: $52 \times 5 = 260$
• Multiply the Denominators: $89 \times 3 = 267$
• Form the New Fraction: $\frac{52}{89} \times \frac{3}{5} = \frac{260}{267}$

Simplify - Since $\frac{260}{267}$​ is already in its simplest form (there are no common factors between $260$ and $267$ other than $1$), this is the final answer.

Answer $\frac{52}{89}\div\frac{3}{5} = \frac{260}{267}$

The following animation demonstrates the divide-by,