2-1/5:2+1/5

To simplify the expression \(2 - \frac{1}{5} : 2 + \frac{1}{5}\), we first need to clarify how the expression is structured. It seems like a sequence of operations applying subtraction and addition. Let's break it down: 1. Simplify \(2 - \frac{1}{5}\): \[ 2 - \frac{1}{5} = \frac{10}{5} - \frac{1}{5} = \frac{9}{5} \] 2. Simplify \(2 + \frac{1}{5}\): \[ 2 + \frac{1}{5} = \frac{10}{5} + \frac{1}{5} = \frac{11}{5} \] Now, we need to represent the entire expression clearly. If we are inferring \( : \) as division, we rewrite it as: \[ \frac{\frac{9}{5}}{\frac{11}{5}} \] 3. Dividing these fractions: \[ \frac{9}{5} \div \frac{11}{5} = \frac{9}{5} \cdot \frac{5}{11} = \frac{9 \cdot 5}{5 \cdot 11} = \frac{9}{11} \] So, the final answer is: \[ \frac{9}{11} \]