What is 81/52 Divided By 5/9

Solving $\frac{81}{52}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{52} \div \frac{5}{9} = \frac{81}{52} \times \frac{9}{5}$

• Multiply the Numerators: $81 \times 9 = 729$
• Multiply the Denominators: $52 \times 5 = 260$
• Form the New Fraction: $\frac{81}{52} \times \frac{5}{9} = \frac{729}{260}$

Simplify - Since $\frac{729}{260}$​ is already in its simplest form (there are no common factors between $729$ and $260$ other than $1$), this is the final answer.

Answer $\frac{81}{52}\div\frac{5}{9} = \frac{729}{260}$

The following animation demonstrates the divide-by,