Question

(3,6- 5/3):(4 1/15- 2 7/9) решите, пожалуйста.

Answer 1

(3,6 - 5/3) : (4 1/15 - 2 7/9) = 1,5

1) 3,6 - 5/3 = 3 3/5 - 1 2/3 = 3 9/15 - 1 10/15 = 2 24/15 - 1 10/15 = 1 14/15
2) 4 1/15 - 2 7/9 = 4 3/45 - 2 35/45 = 3 48/45 - 2 35/45 = 1 13/45
3) 1 14/15 : 1 13/45 = 29/15 : 58/45 = 29/15 * 45/58 = (1*3)/(1*2) = 3/2 = 1,5

Пояснения:
3,6 = 3 6/10 = 3 3/5 = 3 9/15
5/3 = 1 2/3 = 1 10/15
1/15 = 3/45 - доп.множ.3
7/9 = 35/45 - доп.множ.5
1 14/15 = (15+14)/15 29/15
1 13/45 = (45+13)/45 = 58/45
3/2 = 1 1/2 = 1 5/10 = 1,5