What is 17/39 Divided By 3/5

Solving $\frac{17}{39}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{39} \div \frac{3}{5} = \frac{17}{39} \times \frac{5}{3}$

• Multiply the Numerators: $17 \times 5 = 85$
• Multiply the Denominators: $39 \times 3 = 117$
• Form the New Fraction: $\frac{17}{39} \times \frac{3}{5} = \frac{85}{117}$

Simplify - Since $\frac{85}{117}$​ is already in its simplest form (there are no common factors between $85$ and $117$ other than $1$), this is the final answer.

Answer $\frac{17}{39}\div\frac{3}{5} = \frac{85}{117}$

The following animation demonstrates the divide-by,