3.Найдите значение выражений a)5$$\frac{3}{8}$$+6$$\frac{1}{8}$$;б)6$$\frac{9}{16}$$+3$$\frac{11}{16}$$;в)10$$\frac{9}{13}$$-3$$\frac{3}{13}$$;г)18$$\frac{2}{5}$$-5$$\frac{3}{5}$$; д)$$\frac{5}{9}$$\cdot$$\frac{18}{35}$$;e)3$$\frac{1}{9}$$\cdot2$$\frac{1}{7}$$;ж)$$\frac{8}{15}$$:\frac{16}{25}$$;з)3$$\frac{3}{5}$$:2$$\frac{7}{10}$$ 4.Решите уравнения: а)х-5$$\frac{3}{8}$$ = 7$$\frac{1}{8}$$;6)$$\frac{1}{7}$$x=4$$\frac{3}{7}$$

Задание 3

a) 5$$\frac{3}{8}$$ + 6$$\frac{1}{8}$$ = 5 + 6 +$$\frac{3}{8}$$ + $$\frac{1}{8}$$ = 11 + $$\frac{4}{8}$$ = 11 + $$\frac{1}{2}$$ = 11$$\frac{1}{2}$$

б) 6$$\frac{9}{16}$$ + 3$$\frac{11}{16}$$ = 6 + 3 + $$\frac{9}{16}$$ + $$\frac{11}{16}$$ = 9 + $$\frac{20}{16}$$ = 9 + 1$$\frac{4}{16}$$ = 10$$\frac{1}{4}$$

в) 10$$\frac{9}{13}$$ - 3$$\frac{3}{13}$$ = 10 - 3 + $$\frac{9}{13}$$ - $$\frac{3}{13}$$ = 7 + $$\frac{6}{13}$$ = 7$$\frac{6}{13}$$

г) 18$$\frac{2}{5}$$ - 5$$\frac{3}{5}$$ = 17$$\frac{7}{5}$$ - 5$$\frac{3}{5}$$ = 17 - 5 + $$\frac{7}{5}$$ - $$\frac{3}{5}$$ = 12 + $$\frac{4}{5}$$ = 12$$\frac{4}{5}$$

д) $$\frac{5}{9}$$\cdot$$\frac{18}{35}$$ = $$\frac{5 \cdot 18}{9 \cdot 35}$$ = $$\frac{5 \cdot 2 \cdot 9}{9 \cdot 5 \cdot 7}$$ = $$\frac{2}{7}$$

e) 3$$\frac{1}{9}$$\cdot$$2$$\frac{1}{7}$$ = $$\frac{28}{9}$$\cdot$$\frac{15}{7}$$ = $$\frac{28 \cdot 15}{9 \cdot 7}$$ = $$\frac{4 \cdot 7 \cdot 3 \cdot 5}{3 \cdot 3 \cdot 7}$$ = $$\frac{4 \cdot 5}{3}$$ = $$\frac{20}{3}$$ = 6$$\frac{2}{3}$$

ж) $$\frac{8}{15}$$ : $$\frac{16}{25}$$ = $$\frac{8}{15}$$\cdot$$\frac{25}{16}$$ = $$\frac{8 \cdot 25}{15 \cdot 16}$$ = $$\frac{8 \cdot 5 \cdot 5}{3 \cdot 5 \cdot 2 \cdot 8}$$ = $$\frac{5}{3 \cdot 2}$$ = $$\frac{5}{6}$$

з) 3$$\frac{3}{5}$$ : 2$$\frac{7}{10}$$ = $$\frac{18}{5}$$ : $$\frac{27}{10}$$ = $$\frac{18}{5}$$\cdot$$\frac{10}{27}$$ = $$\frac{18 \cdot 10}{5 \cdot 27}$$ = $$\frac{2 \cdot 9 \cdot 2 \cdot 5}{5 \cdot 3 \cdot 9}$$ = $$\frac{2 \cdot 2}{3}$$ = $$\frac{4}{3}$$ = 1$$\frac{1}{3}$$

Задание 4

а) x - 5$$\frac{3}{8}$$ = 7$$\frac{1}{8}$$

x = 7$$\frac{1}{8}$$ + 5$$\frac{3}{8}$$

x = 7 + 5 + $$\frac{1}{8}$$ + $$\frac{3}{8}$$

x = 12 + $$\frac{4}{8}$$

x = 12$$\frac{1}{2}$$

б) $$\frac{1}{7}$$x = 4$$\frac{3}{7}$$

x = 4$$\frac{3}{7}$$ : $$\frac{1}{7}$$

x = $$\frac{31}{7}$$ : $$\frac{1}{7}$$

x = $$\frac{31}{7}$$\cdot$$7

x = 31