What is 45/46 Divided By 2/5

Solving $\frac{45}{46}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{46} \div \frac{2}{5} = \frac{45}{46} \times \frac{5}{2}$

• Multiply the Numerators: $45 \times 5 = 225$
• Multiply the Denominators: $46 \times 2 = 92$
• Form the New Fraction: $\frac{45}{46} \times \frac{2}{5} = \frac{225}{92}$

Simplify - Since $\frac{225}{92}$​ is already in its simplest form (there are no common factors between $225$ and $92$ other than $1$), this is the final answer.

Answer $\frac{45}{46}\div\frac{2}{5} = \frac{225}{92}$

The following animation demonstrates the divide-by,