What is 33/53 Divided By 2/5

Solving $\frac{33}{53}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{53} \div \frac{2}{5} = \frac{33}{53} \times \frac{5}{2}$

• Multiply the Numerators: $33 \times 5 = 165$
• Multiply the Denominators: $53 \times 2 = 106$
• Form the New Fraction: $\frac{33}{53} \times \frac{2}{5} = \frac{165}{106}$

Simplify - Since $\frac{165}{106}$​ is already in its simplest form (there are no common factors between $165$ and $106$ other than $1$), this is the final answer.

Answer $\frac{33}{53}\div\frac{2}{5} = \frac{165}{106}$

The following animation demonstrates the divide-by,