Odpowiedź:
a)
5 1/2 * (1,5)² - 4 5/7 : 1 1/21 = 11/2 * (3/2)² - 33/7 : 22/21 = 11/2 * 9/4 - 33/7 * 21/22 = 99/8 - 3 * 3/2 = 12 3/8 - 1/2 = 12 3/8 - 4/8 = 11 7/8
b)
(3 3/4 * 4/5 - 4,5 : 3,5) : 24 = (15/4 * 4/5 - 45/10 : 35/10) : 24 = (3 - 45/10 * 10/35) : 24 = (3 - 45/35) * 1/24 = (3 - 9/7) * 1/24 = (3 - 1 2/7) * 1/24 = 1 5/7 * 1/24 =
= 12/7 * 1/24 = 1/7 * 1/2 = 1/14
c)
11 1/4 * (1 2/3 - 1 19/21 * 0,7) = 45/4 * (1 2/3 - 40/21 * 7/10) = 45/4 * (1 2/3 - 4/3) =
= 45/4 * (1 2/3 - 1 1/3) = 45/4 * 1/3 = 15/4 = 3 3/4
d)
4 1/8 + (1,2 - 0,65) : 7 1/3 = 4 1/8 + 0,55 : 22/3 = 4 1/8 + 55/100 * 3/22 =
= 4 1/8 + 5/100 * 3/2 = 4 1/8 + 15/200 = 4,125 + 0,075 = 4,2
e)
(2 1/3 - 1,6) : (1,25 * 0,88) = (2 1/3 - 1 3/5) : 1,1 = (2 5/15 - 1 9/15) : 1,1 =
= (1 20/15 - 1 9/15) : 1,1 = 11/15 : 11/10 = 11/15 * 10/11 = 2
f)
(3 1/3 + 1,25)/(3 1/3 - 1,25) = (3 1/3 + 1 1/4)/(3 1/3 - 1 1/4) =
= (3 4/12 + 1 3/12)/(3 4/12 - 1 3/12) = 4 7/12 : 2 1/12 = 55/12 : 25/12 =
= 55/12 * 12/25 = 55/25 = 3 5/25 = 3 1/5
g)
(25,92 : 7,2)/(3,02 - 2,9) = 3,6 : 0,12 = 30
h)
1 - 4 2/5 : 2 3/4 - 2 3/4 : 4 2/5 = 1 - 22/5 : 11/4 - 11/4 : 22/5 =
= 1 - 22/5 * 4/11 - 11/4 * 5/22 = 1 - 8/5 - 5/8 = 1 - 1 3/5 - 5/8 = 1 - 1,6 - 0,625 =
= 1 - 2,225 = -1,225
i)
5 1/5 * 3 1/2/[13/30 * (3,11 + 1,09)] = 5,2 * 3,5/(13/30 * 4,2) =
= 18,2 : (13/30 * 42/10) = 18,2 : (13/10 * 14/10) = 18,2 : 182/100 = 18,2 : 1,82 = 10
j)
(2 1/8 - 1 2/3)/(1 3/8) : 1 1/3 = (2 3/24 - 1 16/24)/11/8 : 4/3 = (1 27/24 -
- 1 16/24)/11/8 * 3/4 = 11/24 * 8/11 * 3/4 = 1/3 * 3/4 = 1/4
Szczegółowe wyjaśnienie:
