What is the difference? Complete the \( -1 \frac{2}{5}-\left(-\frac{4}{5}\right)=\square \)

To find the difference in the expression: \[ -1 \frac{2}{5} - \left(-\frac{4}{5}\right) = \square \] Let's break it down step by step. ### Step 1: Convert the Mixed Number to an Improper Fraction First, convert \(-1 \frac{2}{5}\) to an improper fraction. \[ -1 \frac{2}{5} = -\left(1 + \frac{2}{5}\right) = -\frac{5}{5} - \frac{2}{5} = -\frac{7}{5} \] ### Step 2: Simplify the Expression Now, substitute the improper fraction back into the original expression: \[ -\frac{7}{5} - \left(-\frac{4}{5}\right) \] Subtracting a negative is the same as adding: \[ -\frac{7}{5} + \frac{4}{5} \] ### Step 3: Combine the Fractions Combine the fractions by adding their numerators while keeping the denominator the same: \[ -\frac{7}{5} + \frac{4}{5} = \frac{-7 + 4}{5} = \frac{-3}{5} \] ### Final Answer \[ -1 \frac{2}{5} - \left(-\frac{4}{5}\right) = -\frac{3}{5} \]