Add and Subtract Rational Expressions · Exercise 75

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

This is an open-ended exercise: its source gives no single answer.

OpenStax, Intermediate Algebra 2e · §7.2 Add and Subtract Rational Expressions · Exercise 75