What is 33/99 Divided By 3/5

Solving $\frac{33}{99}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{99} \div \frac{3}{5} = \frac{33}{99} \times \frac{5}{3}$

• Multiply the Numerators: $33 \times 5 = 165$
• Multiply the Denominators: $99 \times 3 = 297$
• Form the New Fraction: $\frac{33}{99} \times \frac{3}{5} = \frac{165}{297}$

Let's Simplify $\frac{165}{297}$

• Find the Greatest Common Divisor (GCD) of $165$ and $297$. The GCD of $165$ and $297$ is $33$.
• Divide both the numerator and the denominator by the GCD:$\frac{165 \div 33}{297 \div 33} = \frac{5}{9}$

Answer $\frac{33}{99}\div\frac{3}{5} = \frac{5}{9}$

The following animation demonstrates the divide-by,