Вычислить:(3 1/3+5 1/6)х2/5-2 3/4:(1 1/2-2/5), 3 1/3х2 2/5+(2-4 8/15х3/17)

Вычислим значения выражений:

1. (3 1/3 + 5 1/6) * 2/5 - 2 3/4 : (1 1/2 - 2/5) = 9/10;

1) 3 1/3 + 5 1/6 = 3 + 5 + 1/3 + 1/6 = 8 + 2/6 + 1/6 = 8 + (2 + 1)/6 = 8 + 1/2 = 8 1/2;

2) 8 1/2 * 2/5 = 17/2 * 2/5 = 17/5 = 3 2/5;

3) 1 1/2 - 2/5 = 1 + 1/2 - 2/5 = 1 + 5/10 - 4/10 = 1 1/10;

4) 2 3/4 : 1 1/10 = 11/4 : 11/10 = 11/4 * 10/11 = 10/4 = 2 1/2;

5) 3 2/5 - 2 1/2 = 3 - 2 + 2/5 - 1/2 = 1 + 4/10 - 5/10 = 14/10 - 5/10 = 9/10.

2. 3 1/3 * 2 2/5 + (2 - 4 8/15 * 3/17) = 9 1/5;

1) 4 8/15 * 3/17 = 68/15 * 3/17 = 4/5;

2) 2 - 4/5 = 1 + 5/5 - 4/5 = 1 1/5;

3) 3 1/3 * 2 2/5 = 10/3 * 12/5 = 2 * 4 = 8;

4) 8 + 1 1/5 = 9 1/5.