Вычислите:4 1/6*(1 1/2-3/5)+(3/4+5/6)*6

Найдем значение выражения 4 1/6 * (1 1/2 - 3/5) + (3/4 + 5/6) * 6 по действиям: 1) 1 1/2 - 3/5 = 1 (1 * 5)/(2 * 5) - (3 * 2)/(5 * 2) = 1 5/10 - 6/10 = 15/10 - 6/10 = 9/10; 2) 3/4 + 5/6 = (3 * 3)/(4 * 3) + (5 * 2)/(6 * 2) = 9/12 + 10/12 = 19/12; 3) 4 1/6 * 9/10 = (4 * 6 + 1)/6 * 9/10 = 25/6 * 9/10 = (25 * 9)/(6 * 10) = (5 * 3)/(2 * 2) = 15/4 = 3 3/4; 4) 19/12 * 6 = (19 * 6)/12 = (19 * 1)/2 = 19/2 = 9 1/2; 5) 3 3/4 + 9 1/2 = 3 3/4 + 9 2/4 = 12 5/4 = 13 1/4. Следовательно 4 1/6 * (1 1/2 - 3/5) + (3/4 + 5/6) * 6 = 13 1/4.