27 целых 5/6 умножить 1 целую 1/4

Выполним умножение:

27 5/6 * 1 1/4 = (27 * 6 + 5) / 6 * (1 * 4 + 1) / 4 = (162 + 5) / 6 * (4 + 1) / 4 = 167/6 * 5/4 = (167 * 5) / (6 * 4) = 835/24 = 34 (835 - 34 * 24) / 24 = 34 (835 - 816) / 24 = 34 19/24.

Решим подобные примеры:

2 3/7 * 4 5/8 = (2 * 7 + 3) / 7 * (4 * 8 + 5) / 8 = (14 + 3) / 7 * (32 + 5) / 8 = 17/7 * 37/8 = (17 * 37) / (7 * 8) = 629/56 = 11 (629 - 11 * 56) / 56 = 11 (629 - 616) / 56 = 11 13/56.

2 1/2 * 2 3/5 = (2 * 2 + 1) / 2 * (2 * 5 + 3) / 5 = (4 + 1) / 2 * (10 + 3) / 5 = 5/2 * 13/5 = (5 * 13) / (2 * 5) = 13/2 = 6 1/2.