What is 33/11 Divided By 2/5

Solving $\frac{33}{11}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{11} \div \frac{2}{5} = \frac{33}{11} \times \frac{5}{2}$

• Multiply the Numerators: $33 \times 5 = 165$
• Multiply the Denominators: $11 \times 2 = 22$
• Form the New Fraction: $\frac{33}{11} \times \frac{2}{5} = \frac{165}{22}$

Let's Simplify $\frac{165}{22}$

• Find the Greatest Common Divisor (GCD) of $165$ and $22$. The GCD of $165$ and $22$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{165 \div 11}{22 \div 11} = \frac{15}{2}$

Answer $\frac{33}{11}\div\frac{2}{5} = \frac{15}{2}$

The following animation demonstrates the divide-by,