What is 11/99 Divided By 1/6

Solving $\frac{11}{99}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{11}{99} \div \frac{1}{6} = \frac{11}{99} \times \frac{6}{1}$

• Multiply the Numerators: $11 \times 6 = 66$
• Multiply the Denominators: $99 \times 1 = 99$
• Form the New Fraction: $\frac{11}{99} \times \frac{1}{6} = \frac{66}{99}$

Let's Simplify $\frac{66}{99}$

• Find the Greatest Common Divisor (GCD) of $66$ and $99$. The GCD of $66$ and $99$ is $33$.
• Divide both the numerator and the denominator by the GCD:$\frac{66 \div 33}{99 \div 33} = \frac{2}{3}$

Answer $\frac{11}{99}\div\frac{1}{6} = \frac{2}{3}$

The following animation demonstrates the divide-by,