oblicz pamiętając o kolejności wykonywania działań
a) 9 7/12-7 4/15+2 3/4-1 11/20
b) 20-(17 3/20+1 13/15)
c) 30 5/12 -(13 1/8-10 5/6)
oblicz
a) 6 7/25-1 4/20) -(8 1/16-7 24/48)
b) 4 2/15+5 13/20)-(2 19/24-1 1/5)
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a)
9 7/12 - 7 4/15 + 2 3/4 - 1 11/20 = 9 i 35/60 - 7 i 16/60 + 2 i 45/60 - 1 i 33/60 =
2 i 19/60 + 2 i 45/60 - 1 i 33/60 = 4 i 64/60 - 1 i 33/60 = 3 i 31/60
b)
20-(17 3/20+1 13/15) = 20 - (17 i 9/60 + 1 i 52/60) = 20 - 18 i 61/60 = 20 - 19 i 1/60 = 59/60
c)
30 5/12 -(13 1/8-10 5/6) =30 i 5/12 - (13 i 3/24 - 10 i 20/24) = 30 i 5/12 - (12 i 27/24 - 10 i 20/24) = 30 i 5/12 - 2 i 7/24 = 30 i 10/24 - 2 i 7/24 = 28 i 3/24 = 28 i 1/8
oblicz
a) (6 7/25-1 4/20) -(8 1/16-7 24/48) =
(6 i 28/100 - 1 i 20/100) - (8 i 1/16 - 7 i 1/2) =
5 i 8/100 - (7 i 17/16 - 7 i 8/16) = 5 i 2/25 - 9/16 =
5 i 32/400 - 225/400 = 4 i 432/400 - 225/400 = 4 i 207/400
b)
(4 2/15+5 13/20)-(2 19/24-1 1/5) =
(4 i 8/60 + 5 i 39/60) - (2 i 95/120 - 1 i 24/120) =
9 i 47/60 - 1 i 71/120 = 9 i 94/120 - 1 i 71/120 = 8 i 23/120
1.a) 115/12 - 109/15 + 11/4 - 31/20 = 575/60 - 436/60 + 165/60 - 93/60 = 211/60 = 3 31/60
1.b) 20 - (343/20 + 28/15) = 1200/60 - (1029/60 + 112/60) = 1200/60 - 1141/60 = 59/60
1.c) 365/12 - (105/8 - 65/6) = 730/24 - (315/24 - 260/24) = 730/24 - 55/24= 675/24= 28 3/24 = 28 1/8
2.a) (157/25 - 24/20) - (129/16 - 15/2) = (157/25 - 6/5) - (129/16 - 120/16) = (157/25 - 30/25) - 9/16 = 127/25 - 9/16 = 2032/400 - 225/400 = 1807/400 = 4 207/400
2.b) (62/15 + 113/20) - (67/24 - 6/5)= (248/60 + 339/60) - (335/120 - 144/120) = 587/60 - 191/120 = 1174/120 - 191/120 = 983/120 = 8 23/120