What is 33/99 Divided By 5/3

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $33 \times 3 = 99$
• Multiply the Denominators: $99 \times 5 = 495$
• Form the New Fraction: $\frac{33}{99} \times \frac{5}{3} = \frac{99}{495}$

Let's Simplify $\frac{99}{495}$

• Find the Greatest Common Divisor (GCD) of $99$ and $495$. The GCD of $99$ and $495$ is $99$.
• Divide both the numerator and the denominator by the GCD:$\frac{99 \div 99}{495 \div 99} = \frac{1}{5}$

Answer $\frac{33}{99}\div\frac{5}{3} = \frac{1}{5}$

The following animation demonstrates the divide-by,