What is 61/17 Divided By 2/9

Solving $\frac{61}{17}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{17} \div \frac{2}{9} = \frac{61}{17} \times \frac{9}{2}$

• Multiply the Numerators: $61 \times 9 = 549$
• Multiply the Denominators: $17 \times 2 = 34$
• Form the New Fraction: $\frac{61}{17} \times \frac{2}{9} = \frac{549}{34}$

Simplify - Since $\frac{549}{34}$​ is already in its simplest form (there are no common factors between $549$ and $34$ other than $1$), this is the final answer.

Answer $\frac{61}{17}\div\frac{2}{9} = \frac{549}{34}$

The following animation demonstrates the divide-by,