What is 33/22 Divided By 2/9

Solving $\frac{33}{22}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{22} \div \frac{2}{9} = \frac{33}{22} \times \frac{9}{2}$

• Multiply the Numerators: $33 \times 9 = 297$
• Multiply the Denominators: $22 \times 2 = 44$
• Form the New Fraction: $\frac{33}{22} \times \frac{2}{9} = \frac{297}{44}$

Let's Simplify $\frac{297}{44}$

• Find the Greatest Common Divisor (GCD) of $297$ and $44$. The GCD of $297$ and $44$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{297 \div 11}{44 \div 11} = \frac{27}{4}$

Answer $\frac{33}{22}\div\frac{2}{9} = \frac{27}{4}$

The following animation demonstrates the divide-by,