What is 85/89 Divided By 9/5

Solving $\frac{85}{89}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{89} \div \frac{9}{5} = \frac{85}{89} \times \frac{5}{9}$

• Multiply the Numerators: $85 \times 5 = 425$
• Multiply the Denominators: $89 \times 9 = 801$
• Form the New Fraction: $\frac{85}{89} \times \frac{9}{5} = \frac{425}{801}$

Simplify - Since $\frac{425}{801}$​ is already in its simplest form (there are no common factors between $425$ and $801$ other than $1$), this is the final answer.

Answer $\frac{85}{89}\div\frac{9}{5} = \frac{425}{801}$

The following animation demonstrates the divide-by,