Odpowiedź:
a)
4 : 1/2 - 14/3 * 9/7 = 4 * 2 - 6 = 8 - 6 = 2
b)
6 1/3 * (2/3 + 3/4) = 19/3 * (8/12 + 9/12) = 19/3 * 17/12 = 323/36 = 8 35/36
c)
(2/3 + 5/6) : 3 - (7/9 - 1/2) = (4/6 + 5/6) * 1/3 - (14/18 - 9/18) = 9/6 * 1/3 - 5/18 =
= 3/2 * 1/3 - 5/18 = 1/2 - 5/18 = 9/18 - 5/18 = 4/18 = 2/9
d)
2 7/12 - 2/3 : 8 + 7/8 = 2 7/12 - 2/3 * 1/8 + 7/8 = 2 7/12 - 1/12 + 7/8 =
= 2 6/12 + 7/8 = 2 1/2 + 7/8 = 2 4/8 + 7/8 = 2 11/8 = 3 3/8
e)
1 4/5 - 2/5 : 5/4 = 1 4/5 - 2/5 * 4/5 = 1 4/5 - 8/25 = 1 20/25 - 8/25 = 1 12/25
f)
3 3/4 : 2/3 : 8 + 1/8 * 16/5 = 15/4 * 3/2 * 1/8 + 2/5 = 15/4 * 3/16 = 45/64
g)
(1 1/2)² - (2/3)² : 2 = (3/2)² - 4/9 * 1/2 = 9/4 - 2/9 = 81/36 - 8/36 = 73/36 =
= 2 1/36
h)
(1 2/3)² + 5/18 : 1/2 = (5/3)² + 5/18 * 2 = 25/9 + 5/9 = 30/9 = 3 3/9 = 3 1/3
i)
2 * 2 2/3/(3 5/6 + 3 5/12 * 2) = 2 * 8/3 : (3 5/6 + 3 5/6) = 16/3 : 6 10/6 =
= 16/3 : 46/6 = 16/3 * 3/23 = 16/23
j)
(3 1/6 - 1 1/2)/(1/6 + 1/2 : 3) = (2 7/6 - 1 3/6) : (1/6 * 1/3) = 1 4/6 : 1/18 =
= 1 2/3 * 18 = 5/3 * 18 = 30
Szczegółowe wyjaśnienie:
