What is 57/85 Divided By 2/9

Solving $\frac{57}{85}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{85} \div \frac{2}{9} = \frac{57}{85} \times \frac{9}{2}$

• Multiply the Numerators: $57 \times 9 = 513$
• Multiply the Denominators: $85 \times 2 = 170$
• Form the New Fraction: $\frac{57}{85} \times \frac{2}{9} = \frac{513}{170}$

Simplify - Since $\frac{513}{170}$​ is already in its simplest form (there are no common factors between $513$ and $170$ other than $1$), this is the final answer.

Answer $\frac{57}{85}\div\frac{2}{9} = \frac{513}{170}$

The following animation demonstrates the divide-by,