What is 33/99 Divided By 2/9

Solving $\frac{33}{99}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{99} \div \frac{2}{9} = \frac{33}{99} \times \frac{9}{2}$

• Multiply the Numerators: $33 \times 9 = 297$
• Multiply the Denominators: $99 \times 2 = 198$
• Form the New Fraction: $\frac{33}{99} \times \frac{2}{9} = \frac{297}{198}$

Let's Simplify $\frac{297}{198}$

• Find the Greatest Common Divisor (GCD) of $297$ and $198$. The GCD of $297$ and $198$ is $99$.
• Divide both the numerator and the denominator by the GCD:$\frac{297 \div 99}{198 \div 99} = \frac{3}{2}$

Answer $\frac{33}{99}\div\frac{2}{9} = \frac{3}{2}$

The following animation demonstrates the divide-by,