What is 83/27 Divided By 3/5

Solving $\frac{83}{27}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{27} \div \frac{3}{5} = \frac{83}{27} \times \frac{5}{3}$

• Multiply the Numerators: $83 \times 5 = 415$
• Multiply the Denominators: $27 \times 3 = 81$
• Form the New Fraction: $\frac{83}{27} \times \frac{3}{5} = \frac{415}{81}$

Simplify - Since $\frac{415}{81}$​ is already in its simplest form (there are no common factors between $415$ and $81$ other than $1$), this is the final answer.

Answer $\frac{83}{27}\div\frac{3}{5} = \frac{415}{81}$

The following animation demonstrates the divide-by,