Add. Do not use a number line except as a check. \( -\frac{19}{28}+\frac{31}{42} \) \( -\frac{19}{28}+\frac{31}{42}=\square \) (Simplify your answer. Type an integer or a fragction.)

To add the two fractions, we first need a common denominator. The least common multiple of 28 and 42 is 84. We convert each fraction: \(-\frac{19}{28} = -\frac{19 \times 3}{28 \times 3} = -\frac{57}{84}\) \(\frac{31}{42} = \frac{31 \times 2}{42 \times 2} = \frac{62}{84}\) Now we can add them: \(-\frac{57}{84} + \frac{62}{84} = \frac{62 - 57}{84} = \frac{5}{84}\) Thus, \(-\frac{19}{28} + \frac{31}{42} = \frac{5}{84}\)