What is 99/22 Divided By 1/6

Solving $\frac{99}{22}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{99}{22} \div \frac{1}{6} = \frac{99}{22} \times \frac{6}{1}$

• Multiply the Numerators: $99 \times 6 = 594$
• Multiply the Denominators: $22 \times 1 = 22$
• Form the New Fraction: $\frac{99}{22} \times \frac{1}{6} = \frac{594}{22}$

Let's Simplify $\frac{594}{22}$

• Find the Greatest Common Divisor (GCD) of $594$ and $22$. The GCD of $594$ and $22$ is $22$.
• Divide both the numerator and the denominator by the GCD:$\frac{594 \div 22}{22 \div 22} = \frac{27}{1}$

Answer $\frac{99}{22}\div\frac{1}{6} = \frac{27}{1}$

The following animation demonstrates the divide-by,