What is 33/45 Divided By 2/5

Solving $\frac{33}{45}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{45} \div \frac{2}{5} = \frac{33}{45} \times \frac{5}{2}$

• Multiply the Numerators: $33 \times 5 = 165$
• Multiply the Denominators: $45 \times 2 = 90$
• Form the New Fraction: $\frac{33}{45} \times \frac{2}{5} = \frac{165}{90}$

Let's Simplify $\frac{165}{90}$

• Find the Greatest Common Divisor (GCD) of $165$ and $90$. The GCD of $165$ and $90$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{165 \div 15}{90 \div 15} = \frac{11}{6}$

Answer $\frac{33}{45}\div\frac{2}{5} = \frac{11}{6}$

The following animation demonstrates the divide-by,