What is 11/99 Divided By 4/5

Solving $\frac{11}{99}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{11}{99} \div \frac{4}{5} = \frac{11}{99} \times \frac{5}{4}$

• Multiply the Numerators: $11 \times 5 = 55$
• Multiply the Denominators: $99 \times 4 = 396$
• Form the New Fraction: $\frac{11}{99} \times \frac{4}{5} = \frac{55}{396}$

Let's Simplify $\frac{55}{396}$

• Find the Greatest Common Divisor (GCD) of $55$ and $396$. The GCD of $55$ and $396$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{55 \div 11}{396 \div 11} = \frac{5}{36}$

Answer $\frac{11}{99}\div\frac{4}{5} = \frac{5}{36}$

The following animation demonstrates the divide-by,