What is 33/52 Divided By 8/5

Solving $\frac{33}{52}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{52} \div \frac{8}{5} = \frac{33}{52} \times \frac{5}{8}$

• Multiply the Numerators: $33 \times 5 = 165$
• Multiply the Denominators: $52 \times 8 = 416$
• Form the New Fraction: $\frac{33}{52} \times \frac{8}{5} = \frac{165}{416}$

Simplify - Since $\frac{165}{416}$​ is already in its simplest form (there are no common factors between $165$ and $416$ other than $1$), this is the final answer.

Answer $\frac{33}{52}\div\frac{8}{5} = \frac{165}{416}$

The following animation demonstrates the divide-by,