What is 33/93 Divided By 2/5

Solving $\frac{33}{93}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{93} \div \frac{2}{5} = \frac{33}{93} \times \frac{5}{2}$

• Multiply the Numerators: $33 \times 5 = 165$
• Multiply the Denominators: $93 \times 2 = 186$
• Form the New Fraction: $\frac{33}{93} \times \frac{2}{5} = \frac{165}{186}$

Let's Simplify $\frac{165}{186}$

• Find the Greatest Common Divisor (GCD) of $165$ and $186$. The GCD of $165$ and $186$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{165 \div 3}{186 \div 3} = \frac{55}{62}$

Answer $\frac{33}{93}\div\frac{2}{5} = \frac{55}{62}$

The following animation demonstrates the divide-by,