Odpowiedź:
a)
3/4 + 1/4 : 2/3 = 3/4 + 1/4 * 3/2 = 3/4 + 3/8 = 6/8 + 3/8 = 9/8 = 1 1/8
b)
1/3 : 3 + 5 : 1/5 = 1/3 * 1/3 + 5 * 5 = 1/9 + 25 = 25 1/9
c)
(3 1/3 - 5/6) * 4/15 = (3 2/6 - 5 * 5/3/6) * 4/15 = (2 8/6 - 5/6) * 4/15 = 2 3/6 * 4/15 =
= 2 1/2 * 4/15 = 5/2 * 4/15 = 2/3
d)
(1 1/8 - 1/2) * (3/5 + 1/3) = (9/8 - 4/8) * (9/15 + 5/15) = 5/8 * 14/15 = 1/4 * 7/3 = 7/12
e)
1 1/5 * 1 2/3 * 1/7 + (1 1/7)² = 6/5 * 5/3 * 1/7 + (8/7)² = 2 * 1/7 + 64/49 = 2/7 +
1 15/49 = 14/49 + 1 15/49 = 1 29/49
f)
(2 1/6 - 2/3)² - 2 1/5 = (2 1/6 - 4/6)² - 2 1/5 = (1 7/6 - 4/6)² - 2 1/5 = (1 3/6)² -
2 1/5 = (1 1/2)² - 2 1/5 = (3/2)² - 2 1/5 = 9/4 - 2 1/(5 = 2 1/4 - 2 1/5 = 2 5/20 -
2 4/20 = 1/20
g)
10 - 2 * (3 1/5 - 2 1/4 * 1/3) = 10 - 2 * (3 1/5 - 9/4 * 1/3) = 10 - 2 * (3 1/5 - 3/4) =
= 10 - 2 * (3 4/20 - 15/20) = 10 - 2 * (2 24/20 - 15/20) = 10 - 2 * 2 9/20 =
= 10 - 2 * 49/20 = 10 - 49/10 = 10 - 4,9 = 5,1
h)
(7/3 - 5/12 + 1 1/2) : (2 3/4 - 5/6) = (2 1/3 - 5/12 + 1 6/12) : (2 9/12 - 10/12) =
= (2 1/3 + 1 1/12) : (1 21/12 - 10/12) = (2 4/12 + 1 1/12) : 1 11/12 = 3 5/12 : 1 11/12 =
= 41/12 : 23/12 = 41/12 * 12/23 = 41/23 = 1 19/23
Szczegółowe wyjaśnienie:
