What is 33/75 Divided By 6/5

Solving $\frac{33}{75}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{75} \div \frac{6}{5} = \frac{33}{75} \times \frac{5}{6}$

• Multiply the Numerators: $33 \times 5 = 165$
• Multiply the Denominators: $75 \times 6 = 450$
• Form the New Fraction: $\frac{33}{75} \times \frac{6}{5} = \frac{165}{450}$

Let's Simplify $\frac{165}{450}$

• Find the Greatest Common Divisor (GCD) of $165$ and $450$. The GCD of $165$ and $450$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{165 \div 15}{450 \div 15} = \frac{11}{30}$

Answer $\frac{33}{75}\div\frac{6}{5} = \frac{11}{30}$

The following animation demonstrates the divide-by,