What is 83/19 Divided By 2/5

Solving $\frac{83}{19}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{19} \div \frac{2}{5} = \frac{83}{19} \times \frac{5}{2}$

• Multiply the Numerators: $83 \times 5 = 415$
• Multiply the Denominators: $19 \times 2 = 38$
• Form the New Fraction: $\frac{83}{19} \times \frac{2}{5} = \frac{415}{38}$

Simplify - Since $\frac{415}{38}$​ is already in its simplest form (there are no common factors between $415$ and $38$ other than $1$), this is the final answer.

Answer $\frac{83}{19}\div\frac{2}{5} = \frac{415}{38}$

The following animation demonstrates the divide-by,