(3 1/4 +1 1/6 :1 5/9):2 2/7+5 1/9:7 2/3

Найдем значение выражения (3 1/4 +1 1/6 :1 5/9) : 2 2/7 + 5 1/9 : 7 2/3 по действиям: 1) 1 1/6 : 1 5/9 = 7/6 : 14/9 = 7/6 * 9/14 = (7 * 9)/(6 * 14) = (1 * 3)/(2 * 2) = 3/4; 2) 3 1/4 + 3/4 = 3 4/4 = 4; 3) 4 : 2 2/7 = 4 : 16/7 = 4 * 7/16 = (4 * 7)/16 = (1 * 7)/4 = 7/4 = 1 3/4; 4) 5 1/9 : 7 2/3 = 46/9 : 23/3 = 46/9 * 3/23 = (46 * 3)/(9 * 23) = (2 * 1)/(3 * 1) = 2/3; 5) 1 3/4 + 2/3 = 1 9/12 + 8/12 = 1 17/12 = 2 5/12. Значит (3 1/4 +1 1/6 :1 5/9) : 2 2/7 + 5 1/9 : 7 2/3 = 2 5/12. Ответ: 2 5/12.