What is 33/85 Divided By 9/5

Solving $\frac{33}{85}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{85} \div \frac{9}{5} = \frac{33}{85} \times \frac{5}{9}$

• Multiply the Numerators: $33 \times 5 = 165$
• Multiply the Denominators: $85 \times 9 = 765$
• Form the New Fraction: $\frac{33}{85} \times \frac{9}{5} = \frac{165}{765}$

Let's Simplify $\frac{165}{765}$

• Find the Greatest Common Divisor (GCD) of $165$ and $765$. The GCD of $165$ and $765$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{165 \div 15}{765 \div 15} = \frac{11}{51}$

Answer $\frac{33}{85}\div\frac{9}{5} = \frac{11}{51}$

The following animation demonstrates the divide-by,