What is 45/52 Divided By 2/5

Solving $\frac{45}{52}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{52} \div \frac{2}{5} = \frac{45}{52} \times \frac{5}{2}$

• Multiply the Numerators: $45 \times 5 = 225$
• Multiply the Denominators: $52 \times 2 = 104$
• Form the New Fraction: $\frac{45}{52} \times \frac{2}{5} = \frac{225}{104}$

Simplify - Since $\frac{225}{104}$​ is already in its simplest form (there are no common factors between $225$ and $104$ other than $1$), this is the final answer.

Answer $\frac{45}{52}\div\frac{2}{5} = \frac{225}{104}$

The following animation demonstrates the divide-by,