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

Question

UpStudy AI · Accepted Answer

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
$$
-1 \frac{2}{5} - \left(-\frac{4}{5}\right) = -\frac{3}{5}
$$
$$ -1 \frac{2}{5} - \left(-\frac{4}{5}\right) = -\frac{3}{5} $$

What is the difference? Complete the