What is 61/85 Divided By 4/9

Solving $\frac{61}{85}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{85} \div \frac{4}{9} = \frac{61}{85} \times \frac{9}{4}$

• Multiply the Numerators: $61 \times 9 = 549$
• Multiply the Denominators: $85 \times 4 = 340$
• Form the New Fraction: $\frac{61}{85} \times \frac{4}{9} = \frac{549}{340}$

Simplify - Since $\frac{549}{340}$​ is already in its simplest form (there are no common factors between $549$ and $340$ other than $1$), this is the final answer.

Answer $\frac{61}{85}\div\frac{4}{9} = \frac{549}{340}$

The following animation demonstrates the divide-by,