What is 17/26 Divided By 3/5

Solving $\frac{17}{26}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{26} \div \frac{3}{5} = \frac{17}{26} \times \frac{5}{3}$

• Multiply the Numerators: $17 \times 5 = 85$
• Multiply the Denominators: $26 \times 3 = 78$
• Form the New Fraction: $\frac{17}{26} \times \frac{3}{5} = \frac{85}{78}$

Simplify - Since $\frac{85}{78}$​ is already in its simplest form (there are no common factors between $85$ and $78$ other than $1$), this is the final answer.

Answer $\frac{17}{26}\div\frac{3}{5} = \frac{85}{78}$

The following animation demonstrates the divide-by,