What is 18/99 Divided By 1/6

Solving $\frac{18}{99}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{99} \div \frac{1}{6} = \frac{18}{99} \times \frac{6}{1}$

• Multiply the Numerators: $18 \times 6 = 108$
• Multiply the Denominators: $99 \times 1 = 99$
• Form the New Fraction: $\frac{18}{99} \times \frac{1}{6} = \frac{108}{99}$

Let's Simplify $\frac{108}{99}$

• Find the Greatest Common Divisor (GCD) of $108$ and $99$. The GCD of $108$ and $99$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{108 \div 9}{99 \div 9} = \frac{12}{11}$

Answer $\frac{18}{99}\div\frac{1}{6} = \frac{12}{11}$

The following animation demonstrates the divide-by,