Найдите значения выражения (13/8*1,2-7/4) * (16*3/20-14/25)

Найдём значение выражения:

(13/8 * 1,2 - 7/4) * (16 * 3/20 - 14/25) = 46/125;

1) 13/8 * 1,2 = 13/8 * 12/10 = (13 * 12) / (8 * 10) = (13 * 3 * 4) / (2 * 4 * 10) = (13 * 3) / (2 * 10) = 39/20 = 1 19/20;

2) 39/20 - 7/4 = 39/20 - (7 * 5) / 20 = 39/20 - 35/20 = (39 - 35) / 20 = 4/20 = 4 / (4 * 5) = 1/5;

3) 16 * 3/20 = (4 * 4 * 3) / (4 * 5) = (4 * 3) / 5 = 12/5 = 2 2/5;

4) 12/5 - 14/25 = (12 * 5) / 25 - 14/25 = 60/25 - 14/25 = (60 - 14) / 25 = 46/25 = 1 21/25;

5) 1/5 * 46/25 = (1 * 46) / (5 * 25) = 46/125.