Составь программу действий и вычисли 7/9+(1 2/9-5/9) (4 2/5+4/5)+1 1/4 6

Сначала выполним действия в скобках, а потом за скобками:

1. 7/9 + (1 2/9 - 5/9) = 1 4/9;

1) 1 2/9 - 5/9 = (1 * 9 + 2)/9 - 5/9 = 11/9 - 5/9 = (11 - 5)/9 = 6/9;

2) 7/9 + 6/9 = (7 + 6)/9 = 13/9 = 1 4/9.

2. (4 2/5 + 4/5) + 1 1/4 = 6 9/20;

1) 4 2/5 + 4/5 = 4 + 2/5 + 4/5 = 4 + (2 + 4)/5 = 4 + 6/5 = 4 + 1 1/5 = 5 1/5;

2) 5 1/5 + 1 1/4 = 5 + 1 + 1/5 + 1/4 = 6 + 4/20 + 5/20 = 6 9/20.

3. 6 1/4 - (3 2/4 + 1 1/4) = 1 1/2;

1) 3 2/4 + 1 1/4 = 3 + 1 + 2/4 + 1/4 = 4 + (2 + 1)/4 = 4 3/4;

2) 6 1/4 - 4 3/4 = 6 - 4 + 1/4 - 3/4 = 2 - 2/4 = 1 + 4/4 - 2/4 = 1 + 2/4 = 1 1/2.

4. (5 - 2 3/8) - 7/8 = 1 3/4;

1) 5 - 2 3/8 = 5 - 2 - 3/8 = 3 - 3/8 = 2 + 8/8 - 3/8 = 2 5/8;

2) 2 5/8 - 7/8 = 2 + 5/8 - 7/8 = 2 - 2/8 = 1 + 1 - 1/4 = 1 + 4/4 - 1/4 = 1 3/4.