Odpowiedź:
a)
[(3 2/5 - 2 1/4) * 3 3/7] : [(2 3/5 - 1) : 2 1/3] = [(3 8/20 - 2 5/20) * 24/7] : (1 3/5 : 7/3) = (1 3/20 * 24/7) : (8/5 * 3/7) = (23/20 * 24/7) : 24/35 = (23/5 * 6/7) * 35/24 =
= 138/35 * 35/24 = 138/24 = 5,75
b)
(3/4 : 1 1/2 + 4)/[(6 1/2 - 5 3/5) : 9/5] - 2 = (3/4 : 3/2 + 4)/[(6 5/10 - 5 6/10) * 5/9] - 2 = (3/4 * 2/3 + 4)/[(5 15/10 - 5 6/10) * 5/9] - 2 = (1/2 + 4)/(9/10 * 5/9) - 2 =
= 4 1/2 : 1/2 - 2 = 9/2 * 2 - 2 = 9 - 2 = 7
c)
1,8* (3,3 - 4 1/2 : 3 3/4)/(5,6 : 2 1/3 + 2,5)= 1,8 * (3,3 - 4,5 : 3,75)/(56/10 : 7/3 +2,5) = 1,8 * (3,3 - 1,2)/(56/10 * 3/7 + 2,5) = 1,8 * 2,1 : (24/10 + 2,5) = 3,78 : (2,4 + 2,5) = 3,78 : 4,9 = 0,77
d)
0,75 + [{0,75 * 4/3) : 1 1/4]/(0,72 - 1/5 : 1 2/3) = 0,75 + (3/4 * 4/3 : 5/4)/(0,72 - -1/5 : 5/3) = 0,75 + (1 * 4/5)/(0,72 - 1/5 * 3/5) = 0,75 + 0,8/(0,72 - 3/25) =
= 0,75 + 0,8/(0,72 - 0,12) = 0,75 + 0,8/0,6 = 0,75 + 0,75 + 1 1/3 = 3/4 + 1 1/3 =
= 9/12 + 1 4/12 = 1 13/12 = 2 1/12
e)
(2 1/12 + 1 1/8)/[(2 1/3 + 1 2/5) * 1,5 - 7] : 3 3/4 = (2 2/24 + 1 3/24)/[(2 5/15 +
+1 6/15) * 1,5 - 7] : 3,75 = 3 5/24 : * 4/15 = (3 11/15 * 1 1/2 - 7) : 3 3/4 = 3 5/24 : (56/15 * 3/2 - 7) : 15/4 = 77/15 : (28/5 - 7) * 4/15 = ( 5 3/5 - 7) * 4/15 = -1 2/5 * 4/15 = -7/5 * 4/15 = -28/75
f)
2,125 - (4/21 : 2/35 - 3 1/9 * 3/7)/(4 4/9 * 0,4) = 2 1/8 - (4/21 * 35/2 - 28/9 * 3/7) : (40/9 * 4/10) = 2 1/8 - (70/21 - 4/3) = 2 1/8 - (70/21 - 28/21) = 2 1/8 - 42/21 =
2 1/8- 2 = 1/8 = 0,125
Szczegóło we wyjaśnienie:
