What is 46/81 Divided By 5/2

Solving $\frac{46}{81}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{81} \div \frac{5}{2} = \frac{46}{81} \times \frac{2}{5}$

• Multiply the Numerators: $46 \times 2 = 92$
• Multiply the Denominators: $81 \times 5 = 405$
• Form the New Fraction: $\frac{46}{81} \times \frac{5}{2} = \frac{92}{405}$

Simplify - Since $\frac{92}{405}$​ is already in its simplest form (there are no common factors between $92$ and $405$ other than $1$), this is the final answer.

Answer $\frac{46}{81}\div\frac{5}{2} = \frac{92}{405}$

The following animation demonstrates the divide-by,