What is 46/61 Divided By 5/3

Solving $\frac{46}{61}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{61} \div \frac{5}{3} = \frac{46}{61} \times \frac{3}{5}$

• Multiply the Numerators: $46 \times 3 = 138$
• Multiply the Denominators: $61 \times 5 = 305$
• Form the New Fraction: $\frac{46}{61} \times \frac{5}{3} = \frac{138}{305}$

Simplify - Since $\frac{138}{305}$​ is already in its simplest form (there are no common factors between $138$ and $305$ other than $1$), this is the final answer.

Answer $\frac{46}{61}\div\frac{5}{3} = \frac{138}{305}$

The following animation demonstrates the divide-by,