Решите пример дроби. (6 1/8*1 2/7-2 11/14*1 8/18) * 1 3/5 По действиям

(6 1/8 * 1 2/7 - 2 11/14 * 1 8/18) * 1 3/5 = 5 3/5.

1) 6 1/8 * 1 2/7 = (6 * 8 + 1) / 8 * (1 * 7 + 2) / 7 = (48 + 1) / 8 * (7 + 2) / 7 = 49/8 * 9/7 = (7 * 7 * 9) / (8 * 7) = (7 * 9) / 8 = 63/8 = 7 7/8;

2) 2 11/14 * 1 8/18 = (2 * 14 + 11) / 14 * (1 * 18 + 8) / 8 = 39/14 * 26/8 = (39 * 2 * 13) / (2 * 7 * 8) = 507/56 = 9 3/56;

3) 7/7/8 - 9 3/56 = 7 - 3 + 7/8 - 3/56 = 4 + (7 * 7) / (7 * 8) - 3/56 = 4 + 49/56 - 3/56 = 4 52/56 = 4 26/28;

4) 4 26/28 * 1 3/5 = 98/28 * 8/5 = (98 * 4 * 2) / (4 * 7 * 5) = (98 * 2) / (7 * 5) = 196/35 = 5 21/35 = 5 3/5.