What is 74/81 Divided By 9/5

Solving $\frac{74}{81}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{81} \div \frac{9}{5} = \frac{74}{81} \times \frac{5}{9}$

• Multiply the Numerators: $74 \times 5 = 370$
• Multiply the Denominators: $81 \times 9 = 729$
• Form the New Fraction: $\frac{74}{81} \times \frac{9}{5} = \frac{370}{729}$

Simplify - Since $\frac{370}{729}$​ is already in its simplest form (there are no common factors between $370$ and $729$ other than $1$), this is the final answer.

Answer $\frac{74}{81}\div\frac{9}{5} = \frac{370}{729}$

The following animation demonstrates the divide-by,