What is 17/52 Divided By 5/3

Solving $\frac{17}{52}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{52} \div \frac{5}{3} = \frac{17}{52} \times \frac{3}{5}$

• Multiply the Numerators: $17 \times 3 = 51$
• Multiply the Denominators: $52 \times 5 = 260$
• Form the New Fraction: $\frac{17}{52} \times \frac{5}{3} = \frac{51}{260}$

Simplify - Since $\frac{51}{260}$​ is already in its simplest form (there are no common factors between $51$ and $260$ other than $1$), this is the final answer.

Answer $\frac{17}{52}\div\frac{5}{3} = \frac{51}{260}$

The following animation demonstrates the divide-by,