What is 66/33 Divided By 2/5

Solving $\frac{66}{33}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{66}{33} \div \frac{2}{5} = \frac{66}{33} \times \frac{5}{2}$

• Multiply the Numerators: $66 \times 5 = 330$
• Multiply the Denominators: $33 \times 2 = 66$
• Form the New Fraction: $\frac{66}{33} \times \frac{2}{5} = \frac{330}{66}$

Let's Simplify $\frac{330}{66}$

• Find the Greatest Common Divisor (GCD) of $330$ and $66$. The GCD of $330$ and $66$ is $66$.
• Divide both the numerator and the denominator by the GCD:$\frac{330 \div 66}{66 \div 66} = \frac{5}{1}$

Answer $\frac{66}{33}\div\frac{2}{5} = \frac{5}{1}$

The following animation demonstrates the divide-by,