Решите уравнения а) 1 целая 13/14x - 2 целых 2/3 = 1 целая 2/7 б) 2 целых 2/7 * (1/3x + 1/15) = 2,4

1 13/14x - 2 2/3 = 1 2/7;

27/14 х - 8/3 = 9/7;

27/14 х = 9/7 + 8/3;

27/14 х = 27/21 + 56/21;

27/14 х = 83/21;

х = 83/21 : 27/14;

х = 83/21 * 14/27;

х = 1162/567;

Сократим на 7:

х = 1162 : 7 / 567 : 7;

х = 166/81;

1 13/14 * 166/81 - 2 2/3 = 1 2/7;

27/14 * 166/81 - 8/3 = 9/7;

4482/1134 - 8/3 = 9/7;

83/21 - 8/3 = 9/7;

83/21 - 27/21 = 9/7;

56/21 = 9/7;

9/7 = 9/7.

2 2/7 * (1/3x + 1/15) = 2,4;

16/7 * 1/3 х + 16/7 * 1/15 = 2,4;

16/21 х + 16/105 = 2,4;

Представим 2,4 как неправильную дробь со знаменателем 105:

16/21 х = 252/105 - 16/105;

16/21 х = 236/105;

х = 236/105 : 16/21;

х = 236/105 * 21/16;

х = 4956/1680;

х=59/20;

2 2/7 * (1/3 * 59/20 + 1/15) = 2,4;

16/7 * 59/60 + 16/7 * 1/15 = 2,4;

944/420 + 16/105 = 2,4;

236/105 + 16/105 = 2,4;

252/105 = 2,4;

2,4 = 2,4.