Решите примеры и уравнение: 29/42-16/63; 11/30-16/45; 0,715+5/16; 13/20+x=7/12+1/6.

Вычислим сложение и вычитание дробей:

1) 29/42 - 16/63 = 29 / (21 * 2) - 16 / (21 * 3) = (29 * 3 - 16 * 2) / (21 * 2 * 3) = (20 * 3 + 9 * 3 - 10 * 2 - 6 * 2) / (21 * 6) = (60 + 27 - 20 - 12) / (21 * 6) = (40 + 15) / (21 * 6) = 55 / (21 * 6) = 55 / (20 * 6 + 1 * 6) = 55 / (120 + 6) = 55/126;

2) 11/30 - 16/45 = 11 * 3 / (30 * 3) - 16 * 2 / (45 * 2) = 33/90 - 32/90 = (33 - 32) / 90 = 1/90;

3) 0,715 + 5/16 = 0.715 + 0.3125 = 1.0275;

Найдем корень уравнения:

13/20 + x = 7/12 + 1/6;

13/20 + x = 7/12 + 2/12;

13/20 + x = 9/12;

13/20 + x = 3/4;

x = 3/4 - 13/20;

x = 15/20 - 13/20;

x = 2/20;

x = 1/10;

x = 0.1.