Вычислить (11/17*2/5+11/17*3/10-2/15*11/17) : 1/15

(11/17 * 2/5 + 11/17 * 3/10 - 2/15 * 11/17) : 1/15 = 5,5.

1) 11/17 * 2/5 = (11 * 2) / (17 * 5) = 22/85;

2) 11/17 * 3/10 = (11 * 3) / (17 * 10) = 33/170;

3) 2/15 * 11/17 = (2 * 11) / (15 * 17) = 22/255;

4) 22/85 + 33/170 = (22*2) / (85*2) + 33/170 = 44/170 + 33/170 = 77/170;

5) 77/170 - 22/255 = (77 * 3) / (170*3) - (22 * 2) / (255 * 2) = 231/510 - 44/510 = 187/510;

6) 187/510 : 1/15 = 187/510 * 15/1 = (187 * 15) / (510 * 1) = 2805/510 = 5 5/10 = 5,5.

Ответ: 5,5