5. Привести подобные слагаемые.

1) $$1\frac{5}{7}a - 2a + \frac{2}{7}a - 3\frac{2}{3}b - \frac{1}{3}b = (1\frac{5}{7} - 2 + \frac{2}{7})a + (-3\frac{2}{3} - \frac{1}{3})b = (1\frac{7}{7} - 2)a + (-3\frac{3}{3})b = (2-2)a - 4b = 0a - 4b = -4b$$ 2) $$4x - 2\frac{3}{5}y - 2\frac{1}{3}x - \frac{2}{5}y - 1\frac{2}{3}x = (4 - 2\frac{1}{3} - 1\frac{2}{3})x + (-2\frac{3}{5} - \frac{2}{5})y = (4 - 2\frac{1}{3} - 1\frac{2}{3})x + (-2\frac{3}{5} - \frac{2}{5})y = (4 - 3\frac{3}{3})x + (-2\frac{5}{5})y = (4-4)x - 3y = 0x - 3y = -3y$$ 3) $$\frac{4}{7}m - \frac{1}{2}n + \frac{5}{14}m + \frac{2}{3}n + \frac{1}{14}m - \frac{1}{6}n = (\frac{4}{7} + \frac{5}{14} + \frac{1}{14})m + (-\frac{1}{2} + \frac{2}{3} - \frac{1}{6})n = (\frac{8}{14} + \frac{5}{14} + \frac{1}{14})m + (-\frac{3}{6} + \frac{4}{6} - \frac{1}{6})n = \frac{14}{14}m + 0n = 1m + 0n = m$$ 4) $$\frac{3}{5}a - \frac{1}{5}b + \frac{1}{16}a + \frac{2}{3}b + \frac{9}{16}a - \frac{7}{15}b = (\frac{3}{5} + \frac{1}{16} + \frac{9}{16})a + (-\frac{1}{5} + \frac{2}{3} - \frac{7}{15})b = (\frac{3}{5} + \frac{10}{16})a + (-\frac{3}{15} + \frac{10}{15} - \frac{7}{15})b = (\frac{48}{80} + \frac{50}{80})a + (0)b = \frac{98}{80}a + 0b = \frac{49}{40}a = 1\frac{9}{40}a$$