Выполните действия: а) 4/15*2+2/3:5 б) 3/16*5-3/4:4 в) 9/13:4+5/52*3 г) (9/13-9/39) : 9 д) 7/8:3-1/24*5 е) (7/12+5/36) : 13

Выполним действия:

1) 4/15 * 2 + 2/3 : 5 = (4 * 2) / 15 + 2/3 * 1/5 = 8/15 + (2 * 1) / (3 * 5) = 8/15 + 2/15 = (8 + 2) / 15 = 10/15 = 2/3;

2) 1/16 * 5 - 3/4 : 4 = 5/16 - 3/4 * 1/4 = 5/16 - 3/16 = (5 - 3) / 16 = 2/16 = 1/8;

3) 9/13 : 4 + 5/52 * 3 = 9/13 * 1/4 + (5 * 3) / 52 = 9/52 + 15/52 = (9 + 15) / 52 = 24/52 = 6/13;

4) (9/13 - 9/39) : 9 = ((9 * 3) / 39 - 9/39) : 9 = (27/39 - 9/39) : 9 = 18/39 * 1/9 = 2/39;

5) 7/8 : 3 - 1/24 * 5 = 7/24 - 5/24 = (7 - 5) / 24 = 2/24 = 1/12;

6) (7/12 + 5/36) : 13 = ((7 * 3) / 36 + 5/36) : 13 = (21/36 + 5/36) : 13 = 26/36 * 1/13 = 2/36 = 1/18.