Răspuns:
53/54
Explicație pas cu pas:
3 1/36 + (4 17/18 - 5 1/9) - [26/27 + (1 1/12 - 1/6)] = ?
3 1/36 = (3 × 36 + 1)/36 = 109/36
4 17/18 = (4 × 18 + 17)/18 = 89/18
5 1/9 = (5 × 9 + 1)/9 = 46/9
1 1/12 = (1 × 12 + 1)/12 = 13/12
109/36 + (89/18 - 46/9) - [26/27 + (13/12 - 1/6)] =
109/36 + (-1/6) - (26/27 + 11/12) =
109/36 - 1/6 - 203/108 =
aducem la acelasi numitor comun :
amplificam fractia 109/36 cu 3 si fractia 1/6 cu 18
=> = 327/108 - 18/108 - 203/108 = (327 - 18 - 203)/108 =
106/108 (simplificam cu 2 ) = 53/54
