What is 11/99 Divided By 4/9

Solving $\frac{11}{99}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{11}{99} \div \frac{4}{9} = \frac{11}{99} \times \frac{9}{4}$

• Multiply the Numerators: $11 \times 9 = 99$
• Multiply the Denominators: $99 \times 4 = 396$
• Form the New Fraction: $\frac{11}{99} \times \frac{4}{9} = \frac{99}{396}$

Let's Simplify $\frac{99}{396}$

• Find the Greatest Common Divisor (GCD) of $99$ and $396$. The GCD of $99$ and $396$ is $99$.
• Divide both the numerator and the denominator by the GCD:$\frac{99 \div 99}{396 \div 99} = \frac{1}{4}$

Answer $\frac{11}{99}\div\frac{4}{9} = \frac{1}{4}$

The following animation demonstrates the divide-by,