What is 46/61 Divided By 5/9

Solving $\frac{46}{61}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{61} \div \frac{5}{9} = \frac{46}{61} \times \frac{9}{5}$

• Multiply the Numerators: $46 \times 9 = 414$
• Multiply the Denominators: $61 \times 5 = 305$
• Form the New Fraction: $\frac{46}{61} \times \frac{5}{9} = \frac{414}{305}$

Simplify - Since $\frac{414}{305}$​ is already in its simplest form (there are no common factors between $414$ and $305$ other than $1$), this is the final answer.

Answer $\frac{46}{61}\div\frac{5}{9} = \frac{414}{305}$

The following animation demonstrates the divide-by,