What is 72/81 Divided By 5/9

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $72 \times 9 = 648$
• Multiply the Denominators: $81 \times 5 = 405$
• Form the New Fraction: $\frac{72}{81} \times \frac{5}{9} = \frac{648}{405}$

Let's Simplify $\frac{648}{405}$

• Find the Greatest Common Divisor (GCD) of $648$ and $405$. The GCD of $648$ and $405$ is $81$.
• Divide both the numerator and the denominator by the GCD:$\frac{648 \div 81}{405 \div 81} = \frac{8}{5}$

Answer $\frac{72}{81}\div\frac{5}{9} = \frac{8}{5}$

The following animation demonstrates the divide-by,