What is 53/33 Divided By 2/5

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $53 \times 5 = 265$
• Multiply the Denominators: $33 \times 2 = 66$
• Form the New Fraction: $\frac{53}{33} \times \frac{2}{5} = \frac{265}{66}$

Simplify - Since $\frac{265}{66}$​ is already in its simplest form (there are no common factors between $265$ and $66$ other than $1$), this is the final answer.

Answer $\frac{53}{33}\div\frac{2}{5} = \frac{265}{66}$

The following animation demonstrates the divide-by,