What is 61/35 Divided By 8/9

Solving $\frac{61}{35}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{35} \div \frac{8}{9} = \frac{61}{35} \times \frac{9}{8}$

• Multiply the Numerators: $61 \times 9 = 549$
• Multiply the Denominators: $35 \times 8 = 280$
• Form the New Fraction: $\frac{61}{35} \times \frac{8}{9} = \frac{549}{280}$

Simplify - Since $\frac{549}{280}$​ is already in its simplest form (there are no common factors between $549$ and $280$ other than $1$), this is the final answer.

Answer $\frac{61}{35}\div\frac{8}{9} = \frac{549}{280}$

The following animation demonstrates the divide-by,