What is 66/33 Divided By 4/9

Solving $\frac{66}{33}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{66}{33} \div \frac{4}{9} = \frac{66}{33} \times \frac{9}{4}$

• Multiply the Numerators: $66 \times 9 = 594$
• Multiply the Denominators: $33 \times 4 = 132$
• Form the New Fraction: $\frac{66}{33} \times \frac{4}{9} = \frac{594}{132}$

Let's Simplify $\frac{594}{132}$

• Find the Greatest Common Divisor (GCD) of $594$ and $132$. The GCD of $594$ and $132$ is $66$.
• Divide both the numerator and the denominator by the GCD:$\frac{594 \div 66}{132 \div 66} = \frac{9}{2}$

Answer $\frac{66}{33}\div\frac{4}{9} = \frac{9}{2}$

The following animation demonstrates the divide-by,