What is 46/61 Divided By 9/7

Solving $\frac{46}{61}\div\frac{9}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{61} \div \frac{9}{7} = \frac{46}{61} \times \frac{7}{9}$

• Multiply the Numerators: $46 \times 7 = 322$
• Multiply the Denominators: $61 \times 9 = 549$
• Form the New Fraction: $\frac{46}{61} \times \frac{9}{7} = \frac{322}{549}$

Simplify - Since $\frac{322}{549}$​ is already in its simplest form (there are no common factors between $322$ and $549$ other than $1$), this is the final answer.

Answer $\frac{46}{61}\div\frac{9}{7} = \frac{322}{549}$

The following animation demonstrates the divide-by,