Решение:

a)

$$\frac{m}{2p} - \frac{m-p}{2p} = \frac{m - (m-p)}{2p} = \frac{m - m + p}{2p} = \frac{p}{2p} = \frac{1}{2}$$

б)

$$\frac{a+b}{6} - \frac{a-2b}{6} = \frac{(a+b) - (a-2b)}{6} = \frac{a+b-a+2b}{6} = \frac{3b}{6} = \frac{b}{2}$$

в)

$$\frac{7y-13}{10y} - \frac{2y+3}{10y} = \frac{(7y-13) - (2y+3)}{10y} = \frac{7y - 13 - 2y - 3}{10y} = \frac{5y - 16}{10y}$$

г)

$$\frac{8c+25}{6c} + \frac{5-2c}{6c} = \frac{8c+25 + 5 - 2c}{6c} = \frac{6c + 30}{6c} = \frac{6(c+5)}{6c} = \frac{c+5}{c}$$