What is 35/61 Divided By 9/8

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

The following animation demonstrates the divide-by,