What is 33/99 Divided By 2/5

Solving $\frac{33}{99}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{99} \div \frac{2}{5} = \frac{33}{99} \times \frac{5}{2}$

• Multiply the Numerators: $33 \times 5 = 165$
• Multiply the Denominators: $99 \times 2 = 198$
• Form the New Fraction: $\frac{33}{99} \times \frac{2}{5} = \frac{165}{198}$

Let's Simplify $\frac{165}{198}$

• Find the Greatest Common Divisor (GCD) of $165$ and $198$. The GCD of $165$ and $198$ is $33$.
• Divide both the numerator and the denominator by the GCD:$\frac{165 \div 33}{198 \div 33} = \frac{5}{6}$

Answer $\frac{33}{99}\div\frac{2}{5} = \frac{5}{6}$

The following animation demonstrates the divide-by,