What is 33/99 Divided By 2/3

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $33 \times 3 = 99$
• Multiply the Denominators: $99 \times 2 = 198$
• Form the New Fraction: $\frac{33}{99} \times \frac{2}{3} = \frac{99}{198}$

Let's Simplify $\frac{99}{198}$

• Find the Greatest Common Divisor (GCD) of $99$ and $198$. The GCD of $99$ and $198$ is $99$.
• Divide both the numerator and the denominator by the GCD:$\frac{99 \div 99}{198 \div 99} = \frac{1}{2}$

Answer $\frac{33}{99}\div\frac{2}{3} = \frac{1}{2}$

The following animation demonstrates the divide-by,