What is 11/99 Divided By 1/5

Solving $\frac{11}{99}\div\frac{1}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{11}{99} \div \frac{1}{5} = \frac{11}{99} \times \frac{5}{1}$

• Multiply the Numerators: $11 \times 5 = 55$
• Multiply the Denominators: $99 \times 1 = 99$
• Form the New Fraction: $\frac{11}{99} \times \frac{1}{5} = \frac{55}{99}$

Let's Simplify $\frac{55}{99}$

• Find the Greatest Common Divisor (GCD) of $55$ and $99$. The GCD of $55$ and $99$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{55 \div 11}{99 \div 11} = \frac{5}{9}$

Answer $\frac{11}{99}\div\frac{1}{5} = \frac{5}{9}$

The following animation demonstrates the divide-by,