What is 11/22 Divided By 2/9

Solving $\frac{11}{22}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{11}{22} \div \frac{2}{9} = \frac{11}{22} \times \frac{9}{2}$

• Multiply the Numerators: $11 \times 9 = 99$
• Multiply the Denominators: $22 \times 2 = 44$
• Form the New Fraction: $\frac{11}{22} \times \frac{2}{9} = \frac{99}{44}$

Let's Simplify $\frac{99}{44}$

• Find the Greatest Common Divisor (GCD) of $99$ and $44$. The GCD of $99$ and $44$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{99 \div 11}{44 \div 11} = \frac{9}{4}$

Answer $\frac{11}{22}\div\frac{2}{9} = \frac{9}{4}$

The following animation demonstrates the divide-by,