Question

Find the sum or difference.

$-\frac{5}{7}+\frac{2}{7}$

Short answer

$-\frac{3}{7}$

Step-by-step solution

Step 1. Given Information.

The provided expression is$-\frac{5}{7}+\frac{2}{7}$

Step 2. Calculation.

Since, the denominators of the first and second fractions of the expression$-\frac{5}{7}+\frac{2}{7}$are the same, subtract the numerators of both fractions to calculate the difference.

$\begin{array}{c}-\frac{5}{7}+\frac{2}{7}=\frac{-5+2}{7}\left[\text{writedifferenceofnumeratorsoverdenominator}\right]\\ -\frac{5}{7}+\frac{2}{7}=-\frac{3}{7}\left[\text{subtract}\right]\end{array}$

Step 3. Conclusion.

The difference is$-\frac{3}{7}$