Вычислите: (9 4/15 - 5 3/5* 1 1/7) * 2 1/43.

(9 4/15 - 5 3/5 * 1 1/7) * 2 1/43 = 5 4/5;

Первое действие.

5 3/5 * 1 1/7 = 5 * 5 + 3/5 * 1 * 7 + 1/7 = 28/5 * 8/7 = 28 * 8/5 * 7 = 224/35 = 32 * 7/5 * 7 = 32/5 = 2 + 6 * 5/5 = 6 2/5;

Второе действие.

9 4/15 - 6 2/5 = 9 * 15 + 4/15 - 6 * 5 + 2/5 = 139/15 - 32/5 = 139 * 5/15 * 5 - 32 * 15/5 * 15 = 695/75 - 480/75 = 695 - 480/75 = 215/75 = 43 * 5/15 * 5 = 43/15 = 13 + 2 * 15/15 = 2 13/15;

Третье действие.

2 13/15 * 2 1/43 = 2 * 15 + 13/15 * 2 * 43 +1/43 = 43/15 * 87/43 = 43 * 87/15*43 = 3741/645 = 29 * 129/5 * 129 = 29/5 = 4 + 5 * 5/5 = 5 4/5.