What is 99/88 Divided By 1/6

Solving $\frac{99}{88}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{99}{88} \div \frac{1}{6} = \frac{99}{88} \times \frac{6}{1}$

• Multiply the Numerators: $99 \times 6 = 594$
• Multiply the Denominators: $88 \times 1 = 88$
• Form the New Fraction: $\frac{99}{88} \times \frac{1}{6} = \frac{594}{88}$

Let's Simplify $\frac{594}{88}$

• Find the Greatest Common Divisor (GCD) of $594$ and $88$. The GCD of $594$ and $88$ is $22$.
• Divide both the numerator and the denominator by the GCD:$\frac{594 \div 22}{88 \div 22} = \frac{27}{4}$

Answer $\frac{99}{88}\div\frac{1}{6} = \frac{27}{4}$

The following animation demonstrates the divide-by,