What is 83/33 Divided By 2/5

Solving $\frac{83}{33}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{33} \div \frac{2}{5} = \frac{83}{33} \times \frac{5}{2}$

• Multiply the Numerators: $83 \times 5 = 415$
• Multiply the Denominators: $33 \times 2 = 66$
• Form the New Fraction: $\frac{83}{33} \times \frac{2}{5} = \frac{415}{66}$

Simplify - Since $\frac{415}{66}$​ is already in its simplest form (there are no common factors between $415$ and $66$ other than $1$), this is the final answer.

Answer $\frac{83}{33}\div\frac{2}{5} = \frac{415}{66}$

The following animation demonstrates the divide-by,