4 4/5 * (2 1/16-5/16*4/15) * 1/38

Решаем пример по действиям:

1) 5/16 * 4/15 = (5 * 4) / (16 * 15) = (5 * 4) / (4 * 4 * 3 * 5) = 1 / (4 * 3) = 1/12;

2) 2 1/16 - 1/12 = (2 * 16 + 1) / 16 - 1/12 = 33/16 - 1/12 = 3 * 33/48 - 4/48 = (99 - 4) / 48 = 95/48;

3) 4 4/5 * 95/48 = (4 * 5 + 4) / 5 * 95/48 = 24/5 * 95/48 = (24 * 95) / (5 * 48) = 19/2;

4) 19/2 * 1/38 = 19 / (2 * 38) = 1/4;

Ответ: 1/4.