Найдите значение выражения -5 3/8+4 8/15-(-2 1/4)

Решаем пример по действиям:

1) 5 3/8 = (5 * 8 + 3)/8 = (40 + 3)/8 = 43/8;

2) 4 8/15 = (4 * 15 + 8)/15 = (60 + 8)/15 = 68/15;

3) 2 1/4 = (2 * 4 + 1)/4 = (8 + 1)/4 = 9/4;

4) -43/8 - (-9/4) = -43/8 + (2 * 9)/8 = (18 - 43)/8 = -25/8;

5) 68/15 - 25/8 = (68 * 8)/(15 * 8) - (25 * 15)/(8 * 15) = 544/120 - 375/120 = (544 - 375)/120 = 169/120;

Ответ: 169/120.