What is 33/85 Divided By 3/5

Solving $\frac{33}{85}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{85} \div \frac{3}{5} = \frac{33}{85} \times \frac{5}{3}$

• Multiply the Numerators: $33 \times 5 = 165$
• Multiply the Denominators: $85 \times 3 = 255$
• Form the New Fraction: $\frac{33}{85} \times \frac{3}{5} = \frac{165}{255}$

Let's Simplify $\frac{165}{255}$

• Find the Greatest Common Divisor (GCD) of $165$ and $255$. The GCD of $165$ and $255$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{165 \div 15}{255 \div 15} = \frac{11}{17}$

Answer $\frac{33}{85}\div\frac{3}{5} = \frac{11}{17}$

The following animation demonstrates the divide-by,