What is 45/52 Divided By 4/5

Solving $\frac{45}{52}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{52} \div \frac{4}{5} = \frac{45}{52} \times \frac{5}{4}$

• Multiply the Numerators: $45 \times 5 = 225$
• Multiply the Denominators: $52 \times 4 = 208$
• Form the New Fraction: $\frac{45}{52} \times \frac{4}{5} = \frac{225}{208}$

Simplify - Since $\frac{225}{208}$​ is already in its simplest form (there are no common factors between $225$ and $208$ other than $1$), this is the final answer.

Answer $\frac{45}{52}\div\frac{4}{5} = \frac{225}{208}$

The following animation demonstrates the divide-by,