What is 17/19 Divided By 3/5

Solving $\frac{17}{19}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{19} \div \frac{3}{5} = \frac{17}{19} \times \frac{5}{3}$

• Multiply the Numerators: $17 \times 5 = 85$
• Multiply the Denominators: $19 \times 3 = 57$
• Form the New Fraction: $\frac{17}{19} \times \frac{3}{5} = \frac{85}{57}$

Simplify - Since $\frac{85}{57}$​ is already in its simplest form (there are no common factors between $85$ and $57$ other than $1$), this is the final answer.

Answer $\frac{17}{19}\div\frac{3}{5} = \frac{85}{57}$

The following animation demonstrates the divide-by,