(3 целая 5/6-1 целая 2/15) *5/9 +((1/20+0,24 )*8 целых1/3-1целая1/6 )*2

(3 5/6 - 1 2/15) * 5/9 + ((1/20 + 0,24 ) * 8 1/3 - 1 1/6 ) * 2 = 6 1/3.

1) 3 5/6 - 1 2/15 = 23/6 - 17/15 = 115/30 - 34/30 = 81/30 = 27/10;

2) 1/20 + 0,24 = 1/20 + 24/100 = 5/100 + 24/100 = 29/100;

3) 29/100 * 8 1/3 = 29/100 * 25/3 = 29/4 * 1/3 = 29/12;

4) 29/12 - 1 1/6 = 29/12 - 7/6 = 29/12 - 14/12 = 15/12 = 5/4;

5) 27/10 * 5/9 = 3/2;

6) 29/12 * 2 = 29/6;

7) 3/2 + 29/6 = 9/6 + 29/6 = 38/6 = 19/3 = 6 1/3.

Ответ: (3 5/6 - 1 2/15) * 5/9 + ((1/20 + 0,24 ) * 8 1/3 - 1 1/6 ) * 2 = 6 1/3.