What is 66/81 Divided By 4/9

Solving $\frac{66}{81}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{66}{81} \div \frac{4}{9} = \frac{66}{81} \times \frac{9}{4}$

• Multiply the Numerators: $66 \times 9 = 594$
• Multiply the Denominators: $81 \times 4 = 324$
• Form the New Fraction: $\frac{66}{81} \times \frac{4}{9} = \frac{594}{324}$

Let's Simplify $\frac{594}{324}$

• Find the Greatest Common Divisor (GCD) of $594$ and $324$. The GCD of $594$ and $324$ is $54$.
• Divide both the numerator and the denominator by the GCD:$\frac{594 \div 54}{324 \div 54} = \frac{11}{6}$

Answer $\frac{66}{81}\div\frac{4}{9} = \frac{11}{6}$

The following animation demonstrates the divide-by,