What is 66/22 Divided By 2/5

Solving $\frac{66}{22}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{66}{22} \div \frac{2}{5} = \frac{66}{22} \times \frac{5}{2}$

• Multiply the Numerators: $66 \times 5 = 330$
• Multiply the Denominators: $22 \times 2 = 44$
• Form the New Fraction: $\frac{66}{22} \times \frac{2}{5} = \frac{330}{44}$

Let's Simplify $\frac{330}{44}$

• Find the Greatest Common Divisor (GCD) of $330$ and $44$. The GCD of $330$ and $44$ is $22$.
• Divide both the numerator and the denominator by the GCD:$\frac{330 \div 22}{44 \div 22} = \frac{15}{2}$

Answer $\frac{66}{22}\div\frac{2}{5} = \frac{15}{2}$

The following animation demonstrates the divide-by,