What is 88/22 Divided By 2/5

Solving $\frac{88}{22}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{88}{22} \div \frac{2}{5} = \frac{88}{22} \times \frac{5}{2}$

• Multiply the Numerators: $88 \times 5 = 440$
• Multiply the Denominators: $22 \times 2 = 44$
• Form the New Fraction: $\frac{88}{22} \times \frac{2}{5} = \frac{440}{44}$

Let's Simplify $\frac{440}{44}$

• Find the Greatest Common Divisor (GCD) of $440$ and $44$. The GCD of $440$ and $44$ is $44$.
• Divide both the numerator and the denominator by the GCD:$\frac{440 \div 44}{44 \div 44} = \frac{10}{1}$

Answer $\frac{88}{22}\div\frac{2}{5} = \frac{10}{1}$

The following animation demonstrates the divide-by,