a).(3 i 1/2 +1 i 1/2) · 3/5 = 5 · 3/5 = 3 b).(2 i 2/3 - 4/5) · 1 i 3/7 = (2 i 10/15 - 12/15) · 10/7 = (1 i 25/15 - 12/15) · 10/7 = = 1 i 13/15 · 10/7 = 28/15 · 10/7 = 8/3 = 2 i 2/3 c).(15 i 2/3 - 7 i 1/2) : 1 i 1/2 = (15 i 4/6 - 7 i 3/6) : 3/2 = 8 i 1/6 : 3/2 = = 49/6 · 2/3 = 49/9 = 5 i 4/9 d).2 · (1/3)² +3 · (1/2)³ = 2 · 1/9 +3 · 1/8 = 2/9 +3/8 = 16/72 +27/72 = 43/72 e).4 i 1/2 · 1 i 1/3 - 2 i 2/5 · 5/7 = 9/2 · 4/3 - 12/5 · 5/7 = 6 - 12/7 = =5 i 7/7 - 1 i 5/7 = 4 i 2/7 f).1 i 2/3 - 5/6 +2 i 1/10 : 1 i 6/15 = 1 i 4/6 - 5/6 +21/10 : 21/15 = = 10/6 - 5/6+21/10 · 15/21 = 5/6+3/2 = 5/6+9/6 = 14/6 = 2 i 2/6 = 2 i 1/3 g).(5/8+1/2) : 1 i 1/2 - 1/3 = (5/8+4/8) : 3/2 - 1/3 = 9/8 · 2/3 - 1/3 = = 3/4 - 1/3 = 9/12 - 4/12 = 5/12 h).(2 i 1/4 - 1 i 2/3) : (1/6 : 2/9) = (2 i 3/12 - 1 i 8/12) : (1/6 · 9/2) = = (1 i 15/12 - 1 i 8/12) : 3/4 = 7/12 : 3/4 = 7/12 · 4/3 = 7/9
1. Oblicz , pamietając o kolejności wykonywania działań.
a) ( 3 i 1/2 + 1 i 1/2 ) x 3/5 =
b) ( 2 i 2/3 - 4/5 ) x 1 i 3/7 =
c) ( 15 i 2/3 - 7 i 1/2 ) : 1 i 1/2 =
d) 2 x (1/3) do potęgi 2 + 3 x (1/2) do potęgi 3 =
e) 4 i 1/2 x 1 i 1/3 - 2 i 2/5 x 5/7 =
f) 1 i 2/3 - 5/6 + 2 i 1/10 : 1 i 6/15 =
g) ( 5/8 + 1/2 ) : 1 i 1/2 - 1/3 =
h) ( 2 i 1/4 - 1 i 2/3 ) : ( 1/6 : 2/9 ) =
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