What is 33/18 Divided By 2/5

Solving $\frac{33}{18}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{18} \div \frac{2}{5} = \frac{33}{18} \times \frac{5}{2}$

• Multiply the Numerators: $33 \times 5 = 165$
• Multiply the Denominators: $18 \times 2 = 36$
• Form the New Fraction: $\frac{33}{18} \times \frac{2}{5} = \frac{165}{36}$

Let's Simplify $\frac{165}{36}$

• Find the Greatest Common Divisor (GCD) of $165$ and $36$. The GCD of $165$ and $36$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{165 \div 3}{36 \div 3} = \frac{55}{12}$

Answer $\frac{33}{18}\div\frac{2}{5} = \frac{55}{12}$

The following animation demonstrates the divide-by,