Реши примеры: 1) 1 7/6 + 1/6

Конечно, давай решим эти примеры по порядку! 1) $1 \frac{7}{6} + \frac{1}{6} = 1 + \frac{7+1}{6} = 1 + \frac{8}{6} = 1 + \frac{4}{3} = 1 + 1 \frac{1}{3} = 2 \frac{1}{3}$ 2) $5 \frac{2}{3} - 2 \frac{1}{5} = \frac{5*3+2}{3} - \frac{2*5+1}{5} = \frac{17}{3} - \frac{11}{5} = \frac{17*5 - 11*3}{3*5} = \frac{85-33}{15} = \frac{52}{15} = 3 \frac{7}{15}$ 3) $2 \frac{5}{6} + 1 \frac{3}{10} = \frac{2*6+5}{6} + \frac{1*10+3}{10} = \frac{17}{6} + \frac{13}{10} = \frac{17*5 + 13*3}{30} = \frac{85 + 39}{30} = \frac{124}{30} = \frac{62}{15} = 4 \frac{2}{15}$ 4) $27 - 2 \frac{1}{5} = 27 - \frac{2*5+1}{5} = 27 - \frac{11}{5} = \frac{27*5 - 11}{5} = \frac{135 - 11}{5} = \frac{124}{5} = 24 \frac{4}{5}$ 5) $5 \frac{3}{8} + \frac{7}{20} = \frac{5*8+3}{8} + \frac{7}{20} = \frac{43}{8} + \frac{7}{20} = \frac{43*5 + 7*2}{40} = \frac{215 + 14}{40} = \frac{229}{40} = 5 \frac{29}{40}$ 6) $\frac{4}{7} \cdot \frac{21}{32} = \frac{4*21}{7*32} = \frac{4*3*7}{7*32} = \frac{12}{32} = \frac{3}{8}$ 7) $1 \frac{1}{8} : \frac{3}{4} = \frac{1*8+1}{8} : \frac{3}{4} = \frac{9}{8} : \frac{3}{4} = \frac{9}{8} \cdot \frac{4}{3} = \frac{9*4}{8*3} = \frac{3*3*4}{2*4*3} = \frac{3}{2} = 1 \frac{1}{2}$ 8) $3 \frac{1}{3} \cdot 12 = \frac{3*3+1}{3} \cdot 12 = \frac{10}{3} \cdot 12 = \frac{10*12}{3} = \frac{10*4*3}{3} = 40$ 9) $2 \frac{3}{4} : 1 \frac{3}{8} = \frac{2*4+3}{4} : \frac{1*8+3}{8} = \frac{11}{4} : \frac{11}{8} = \frac{11}{4} \cdot \frac{8}{11} = \frac{11*8}{4*11} = \frac{8}{4} = 2$ 10) $3 \frac{1}{2} \cdot 1 \frac{5}{7} = \frac{3*2+1}{2} \cdot \frac{1*7+5}{7} = \frac{7}{2} \cdot \frac{12}{7} = \frac{7*12}{2*7} = \frac{12}{2} = 6$ Надеюсь, теперь тебе всё понятно!