What is 72/81 Divided By 9/5

Solving $\frac{72}{81}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{81} \div \frac{9}{5} = \frac{72}{81} \times \frac{5}{9}$

• Multiply the Numerators: $72 \times 5 = 360$
• Multiply the Denominators: $81 \times 9 = 729$
• Form the New Fraction: $\frac{72}{81} \times \frac{9}{5} = \frac{360}{729}$

Let's Simplify $\frac{360}{729}$

• Find the Greatest Common Divisor (GCD) of $360$ and $729$. The GCD of $360$ and $729$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{360 \div 9}{729 \div 9} = \frac{40}{81}$

Answer $\frac{72}{81}\div\frac{9}{5} = \frac{40}{81}$

The following animation demonstrates the divide-by,