Найдите и значение выражения ( 1 3\25 - 4\25):(1 - 2\5)*(10

(1 3\25 - 4\25) : (1 - 2\5) * (10 - 9 1\16) = 1 1/2;

1-ое действие.

1 3/25 - 4/25 = 1 *25 + 3/25 - 4/25 = 28/25 = 28 - 4/25 = 24/25;

2-ое деяние.

1 - 2/5 = 1/1 - 2/5 = 1 * 5/1 * 5 - 2 * 1/5 * 1 = 5/5 - 2/5 = 5 - 2/5 = 3/5;

Третье деянье.

24/25 / 3/5 = 24/25 * 5/3 = 24 * 5/25 * 3 = 120/75 = 8 * 15/5 *15 = 8/5 = 3 + 1 * 5/5 = 1 3/5;

Четвертое деянье.

10 - 9 1/16 = 10/1 - 9 1/16 = 10/1 - 9 * 16 +1/16 = 10/1 - 145/16 = 10 * 16/1 * 16 - 145 * 1/16 * 1 = 160/16 - 145/16 = 160 - 145/16 = 15/16;

5-ое действие.

1 3/5 * 15/16 = 1 * 5 + 3/5 * 15/16 = 8/5 * 15/16 = 8 * 15/5 * 16 = 120/80 = 3 * 40/2*40 = 3/2 = 1 + 1 * 2/2 = 1 1/2.