What is 33/12 Divided By 2/5

Solving $\frac{33}{12}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{12} \div \frac{2}{5} = \frac{33}{12} \times \frac{5}{2}$

• Multiply the Numerators: $33 \times 5 = 165$
• Multiply the Denominators: $12 \times 2 = 24$
• Form the New Fraction: $\frac{33}{12} \times \frac{2}{5} = \frac{165}{24}$

Let's Simplify $\frac{165}{24}$

• Find the Greatest Common Divisor (GCD) of $165$ and $24$. The GCD of $165$ and $24$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{165 \div 3}{24 \div 3} = \frac{55}{8}$

Answer $\frac{33}{12}\div\frac{2}{5} = \frac{55}{8}$

The following animation demonstrates the divide-by,