What is 83/52 Divided By 5/3

Solving $\frac{83}{52}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{52} \div \frac{5}{3} = \frac{83}{52} \times \frac{3}{5}$

• Multiply the Numerators: $83 \times 3 = 249$
• Multiply the Denominators: $52 \times 5 = 260$
• Form the New Fraction: $\frac{83}{52} \times \frac{5}{3} = \frac{249}{260}$

Simplify - Since $\frac{249}{260}$​ is already in its simplest form (there are no common factors between $249$ and $260$ other than $1$), this is the final answer.

Answer $\frac{83}{52}\div\frac{5}{3} = \frac{249}{260}$

The following animation demonstrates the divide-by,