What is 99/33 Divided By 2/3

Solving $\frac{99}{33}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{99}{33} \div \frac{2}{3} = \frac{99}{33} \times \frac{3}{2}$

• Multiply the Numerators: $99 \times 3 = 297$
• Multiply the Denominators: $33 \times 2 = 66$
• Form the New Fraction: $\frac{99}{33} \times \frac{2}{3} = \frac{297}{66}$

Let's Simplify $\frac{297}{66}$

• Find the Greatest Common Divisor (GCD) of $297$ and $66$. The GCD of $297$ and $66$ is $33$.
• Divide both the numerator and the denominator by the GCD:$\frac{297 \div 33}{66 \div 33} = \frac{9}{2}$

Answer $\frac{99}{33}\div\frac{2}{3} = \frac{9}{2}$

The following animation demonstrates the divide-by,