What is 61/85 Divided By 7/9

Solving $\frac{61}{85}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{85} \div \frac{7}{9} = \frac{61}{85} \times \frac{9}{7}$

• Multiply the Numerators: $61 \times 9 = 549$
• Multiply the Denominators: $85 \times 7 = 595$
• Form the New Fraction: $\frac{61}{85} \times \frac{7}{9} = \frac{549}{595}$

Simplify - Since $\frac{549}{595}$​ is already in its simplest form (there are no common factors between $549$ and $595$ other than $1$), this is the final answer.

Answer $\frac{61}{85}\div\frac{7}{9} = \frac{549}{595}$

The following animation demonstrates the divide-by,