8.4 Exercise 125

Felipe thinks $\frac{1}{x} + \frac{1}{y}$ is $\frac{2}{x + y} .$

1. ⓐ Choose numerical values for x and y and evaluate $\frac{1}{x} + \frac{1}{y} .$
2. ⓑ Evaluate $\frac{2}{x + y}$ for the same values of x and y you used in part (a).
3. ⓒ Explain why Felipe is wrong.
4. ⓓ Find the correct expression for $\frac{1}{x} + \frac{1}{y} .$