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) 2
(3 1/3 - 5/6) * 4/15 = (3 4/12 - 10/12) * 4/15 = (2 16/12 - 10/12) * 4/15 =
= 2 6/12 * 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 * 3/15 = 1/8
e)
1 1/5 * 1 2/3 * 1/7 + (1 1/7)² = 6/5 * 5/3 * 1/7 + (8/7)² = 2/7 * 64/49 = 128/343
f)
(2 1/6 - 2/3)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 * 9/20 =
= 10 - 9/10 = 9 1/10
h)
(7/3 - 5/12 + 1 1/2 : (2 3/4 - 5/6) = (1 4/3 - 5/12 + 3/2 : (2 9/12 - 10/12) =
= 1 16/12 - 5/12 + 3/2 : (1 21/12 - 10/12) = 1 11/12 + 3/2 : 1 11/12 =
= 1 11/12 + 3/2 : 23/12 = 1 11/12 + 3/2 * 12/23 = 1 11/12 + 36/46 = 1 11/12 + 18/23 = 1 253/276 + 216/276 = 1 469/276 = 2 193/276
Szczegółowe:
