найдите значения выражения а) 1/4*4 целых3/4*16/57 + (4 целых 3/4+1 целых2/3) 16/21+2/27*4 целых1/2

а) 1/4 * 4 3/4 * 16/57 + (4 3/4 + 1 2/3) * 16/21 + 2/27 * 4 1/2 = 5 5/9.

1) 4 3/4 + 1 2/3 = 19/4 + 5/3 = (19 * 3 + 5 * 4) / 12 = (57 + 20) / 12 = 77/12 = 6 5/12;

2) 1/4 * 4 3/4 = 1/4 * 19/4 = 19/16 = 1 3/16;

3) 1 3/16 * 16/57 = 19/16 * 16/57 = 1/3;

4) 6 5/12 * 16/21 = 77/12 * 16/21 = 11/3 * 4/3 = 44/9 = 4 8/9;

5) 2/27 * 4 1/2 = 2/27 * 9/2 = 1/3;

6) 1/3 + 4 8/9 = 1/3 + 44/9 = (1 * 3 + 44 * 1) / 9 = (3 + 44) / 9 = 47/9 = 5 2/9;

7) 5 2/9 + 1/3 = 47/9 + 1/3 = (47 * 1 + 1 * 3) / 9 = (47 + 3) / 9 = 50/9 = 5 5/9.

Ответ: 5 5/9.