What is 46/83 Divided By 5/3

Solving $\frac{46}{83}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{83} \div \frac{5}{3} = \frac{46}{83} \times \frac{3}{5}$

• Multiply the Numerators: $46 \times 3 = 138$
• Multiply the Denominators: $83 \times 5 = 415$
• Form the New Fraction: $\frac{46}{83} \times \frac{5}{3} = \frac{138}{415}$

Simplify - Since $\frac{138}{415}$​ is already in its simplest form (there are no common factors between $138$ and $415$ other than $1$), this is the final answer.

Answer $\frac{46}{83}\div\frac{5}{3} = \frac{138}{415}$

The following animation demonstrates the divide-by,