What is 88/11 Divided By 2/5

Solving $\frac{88}{11}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{88}{11} \div \frac{2}{5} = \frac{88}{11} \times \frac{5}{2}$

• Multiply the Numerators: $88 \times 5 = 440$
• Multiply the Denominators: $11 \times 2 = 22$
• Form the New Fraction: $\frac{88}{11} \times \frac{2}{5} = \frac{440}{22}$

Let's Simplify $\frac{440}{22}$

• Find the Greatest Common Divisor (GCD) of $440$ and $22$. The GCD of $440$ and $22$ is $22$.
• Divide both the numerator and the denominator by the GCD:$\frac{440 \div 22}{22 \div 22} = \frac{20}{1}$

Answer $\frac{88}{11}\div\frac{2}{5} = \frac{20}{1}$

The following animation demonstrates the divide-by,