What is 61/34 Divided By 5/9

Solving $\frac{61}{34}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{34} \div \frac{5}{9} = \frac{61}{34} \times \frac{9}{5}$

• Multiply the Numerators: $61 \times 9 = 549$
• Multiply the Denominators: $34 \times 5 = 170$
• Form the New Fraction: $\frac{61}{34} \times \frac{5}{9} = \frac{549}{170}$

Simplify - Since $\frac{549}{170}$​ is already in its simplest form (there are no common factors between $549$ and $170$ other than $1$), this is the final answer.

Answer $\frac{61}{34}\div\frac{5}{9} = \frac{549}{170}$

The following animation demonstrates the divide-by,