Odpowiedź :
Odpowiedź:
zad 14
a)
(16 * 1/8 + 2) * 1 1/3 = ( 16/8 + 2) * 4/3 = (2 + 2) * 4/3 = 4 * 4/3 = 16/3 = 5 1/3
b)
(5 2/15 + 1/2) - 3/5 = ( 5 4/30 - 15/30) - 3/5 = (4 34/30 - 15/30) - 3/5 =
= 4 16/30 - 3/5 = 4 16/30 - 18/30 = 3 36/30 - 18/30 = 3 18/30 = 3 3/5
c)
5 1/2 - 3/4 * 6 + 2³ =5 1/2 - 18/4 + 8 = 5 1/2 - 4 2/4 + 8 =
= 5 1/2 - 4 1/2 + 8 = 1 + 8 = 9
d)
(3 3/4 - 3/4 : 1 1/8 - 5/6) : 5 2/5 + (5/6)² =
= ( 3 3/4 - 3/4 : 9/8 - 5/6) : 12/5 + 25/36 =
= (3 3/4 - 3/4 * 8/9 - 5/6) * 5/12 + 25/36 =
= (3 3/4 - 1 * 2/3 - 5/6) * 5/12 + 25/36 =
= (3 3/4 - 2/3 - 5/6) * 5/12 + 25/36 =
= (3 3/4 - 4/6 - 5/6) * 5/12 + 25/36 =
= (3 3/4 - 9/6) * 5/12 + 25/36 = (3 3/4 - 3/2) * 5/12 + 25/36 =
= ( 3 3/4 - 1 1/2) * 5/12 + 25/36 = (3 3/4 - 1 2/4) * 5/12 + 25/36 =
= 2 1/4 * 5/12 + 25/36 = 9/4 * 5/12 + 25/36 = 3/4 * 5/4 + 25/36 =
= 15/16 + 25/36 = 5/16 + 25/12 = 15/48 + 100/48 = 115/48 = 2 19/48
e)
(1 1/3 : 2 + 5/6 * 2) : 3 = (4/3 * 1/2+ 10/6) * 1/3 = (4/6 + 10/6) * 1/3 =
= 14/6 * 1/3 = 14/18 = 7/9
f)
(2 1/3 : 2 + 3 1/6 * 2) : ( 1 2/3 : 2 + 11/10 * 3) =
= ( 7/3 * 1/2 + 19/6 * 2) : ( 5/3 * 1/2 + 33/10) =
= (7/6 + 38/6) : (5/6 + 33/10) = 45/6 : ( 25/30 + 99/30) =
= 45/6 : 124/30 = 45/6 * 30/124 = 45 * 5/124 = 225/124 = 1 101/124
Odpowiedź:
(16 * 1/8 + 2) * 1 i 1/3 = (2 + 2) * 4/3 = 4 * 4/3 = 16/3 = 5 i 1/3
(5 i 2/15 + 1/2) - 3/5 = (5 i 4/30 + 15/30) - 3/5 = 5 i 19/30 - 3/5 = 5 i 19/30 - 18/30 = 5 i 1/30
5 i 1/2 - 3/4 * 6 + (2)³ = 5 i 1/2 - 18/4 + 8 = 5 i 1/2 - 4 i 2/4 + 8 = 5 i 2/4 - 4 i 2/4 + 8 = 1 + 8 = 9
(3 i 3/4 - 3/4 : 1 i 1/8 - 5/6) : 5 i 2/5 + (5/6)² = (3 i 3/4 - 3/4 * 8/9 - 5/6) : 27/5 + 25/30 = (3 i 3/4 - 2/3 - 5/6) : 27/5 + 25/30 = (3 i 9/12 - 8/12 - 10/12) : 27/5 + 25/30 = (3 i 1/12 - 10/12) : 27/5 + 25/30 = (2 i 13/12 - 10/12) : 27/5 + 25/30 = 2 i 3/12 : 27/5 + 25/30 = 27/12 * 5/27 + 25/30 = 5/12 + 25/30 = 25/60 + 50/60 = 75/60 = 1 i 15/60 = 1 i 1/4
(1 i 1/3 : 2 + 5/8 * 2) : 3 = (4/3 * 1/2 + 5/8 * 2) : 3 = (1/3 + 10/8) : 3 = (8/24 + 30/24) : 3 = 38/34 * 1/3 = 38/102 = 19/51
(2 i 1/3 : 2 + 3 i 1/6 * 2) : (1 i 2/5 : 2 + 11/10 * 3) = (7/3 * 1/2 + 19/6 * 2) : (7/5 * 1/2 + 11/10 * 3) = (7/6 + 38/6) : (7/10 + 33/10) = 45/6 : 40/10 = 45/6 * 10/40 = 90/48 = 1 i 42/48 = 1 i 7/8