What is 99/66 Divided By 2/3

Solving $\frac{99}{66}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{99}{66} \div \frac{2}{3} = \frac{99}{66} \times \frac{3}{2}$

• Multiply the Numerators: $99 \times 3 = 297$
• Multiply the Denominators: $66 \times 2 = 132$
• Form the New Fraction: $\frac{99}{66} \times \frac{2}{3} = \frac{297}{132}$

Let's Simplify $\frac{297}{132}$

• Find the Greatest Common Divisor (GCD) of $297$ and $132$. The GCD of $297$ and $132$ is $33$.
• Divide both the numerator and the denominator by the GCD:$\frac{297 \div 33}{132 \div 33} = \frac{9}{4}$

Answer $\frac{99}{66}\div\frac{2}{3} = \frac{9}{4}$

The following animation demonstrates the divide-by,