4,58-(1,295+1,936:3 1/5)x 1 16/19+3 5/51:(4 5/34-3 19/51)=

Решаем пример по действиям:

1) 1,295 + 1,936 : 3 1/5 = 1295/1000 + 1936/1000 : (3 * 5 + 1)/5 = 259/200 + 242/125 : 16/5 = 259/200 + (242 * 5)/(125 * 16) = 259/200 + 121/200 = (259 + 121)/200 = 380/200 = 19/10;

2) 4,58 - 19/10 * 1 16/19 = 458/100 - (19 * 35)/190 = 458/100 - 350/100 = (458 - 350)/100 = 108/100;

3) 3 5/51 : (4 5/34 - 3 19/51) = (3 * 51 + 5)/51 : ((4 * 34 + 5)/34 - (3 * 51 + 19)/51) = 158/51 : (141/34 - 172/51) = 158/51 : (3 * 141/102 - 2 * 172/102) = 158/51 : 79/102 = (158 * 102)/(51 * 79) = 4;

4) 108/100 + 4 = 1,08 + 4 = 5,08.

Ответ: 5,08.