Найдите значение выражения (8: 2 2/5): (5 1/4: 7): (2 1/7: 5/7): (4: 8/9)

80/243

Пошаговое объяснение:

(8 : 2 2/5) : (5 1/4 : 7) : (2 1/7 : 5/7) : (4 : 8/9) = 80/243

1) 8 : 2 2/5 = 8 : 12/5 = 8 * 5/12 = 40/12 = 10/3

2) 5 1/4 : 7 = 21/4 : 7 = 21/4 * 1/7 = 3/4

3) 2 1/7 : 5/7 = 15/7 * 7/5 = 3

4) 4 : 8/9 = 4 * 9/8 = 9/2

5) 10/3 : 3/4 = 10/3 * 4/3 = 40/9

6) 40/9 : 3 = 40/9 * 1/3 = 40/27

7) 40/27 : 9/2 = 40/27 * 2/9 = 80/243