Answer:
1.
[tex] \frac{1}{x} + \frac{3x}{2} \\ = \frac{2 + 3x {}^{2} }{2x} [/tex]
2.
[tex] \frac{4}{y} - \frac{2y - 1}{2} \\ = \frac{8 - 2y^{2} - y}{2y}[/tex]
3.
[tex] \frac{3m}{2} + \frac{m + 1}{m} \\ = \frac{3m {}^{2} + 2m + 2}{2m} [/tex]
4.
[tex] \frac{k + 1}{2k} - \frac{k + 2}{3k} \\ = \frac{(3k+ 3)- (2k + 4)}{6k } \\ = \frac{3k + 3 - 2k - 4}{6k} \\ = \frac{k {} - 1}{6k } [/tex]
5.
[tex] \frac{x - 5}{2x} + \frac{x + 1}{x - 2} \\ = \frac{(x - 5)(x - 2) + (x + 1)(2x)}{2x(x - 2)} \\ = \frac{x {}^{2} - 7x + 10 + 2x {}^{2} + 2x }{2x(x - 2)} \\ = \frac{3x {}^{2} - 5x + 10 }{2x(x - 2)} [/tex]
