Odpowiedź:
Szczegółowe wyjaśnienie:
Zad 8
a)
5 - 2/3 = 15/3 - 2/3 = 13/3 = 4 i 1/3
b)
4 i 1/2 + 3/4 = 4 i 2/4 + 3/4 = 4 i 5/4 = 5 i 1/4
c)
-2 i 2/3 + 1 i 1/3 = -8/3 + 4/3 = -4/3 = -1 i 1/3
d)
-4 i 2/3 + 1 = -14/3 + 3/3 = -11/3 = -3 i 2/3
e)
-3 i 1/2 + 6 = -7/2 + 12/2 = 5/2 = 2 i 1/2
f)
-4 i 1/5 - 5 i 4/5 = -21/5 - 29/5 = -50/5 = -10
g)
(-1/3) * (-3/5) = 3/15 = 1/5
h)
1 i 1/2 * 2 = 3/2 * 2 = 6/2 = 3
i)
-3/5 : 2 = -3/5 * 1/2 = -3/10
j)
(-1 i 1/3) * 3/4 = (-4/3) * 3/4 = -12/12 = -1
k)
-5 : 2/5 = -5 * 5/2 = -25/2 = -12 i 1/2
l)
6 : (-1 i 1/2) = 6 : (-3/2) = 6 * (-2/3) = -12/3 = -4
Zad 9
-6 i 2/5 - 4 i 7/10 = -6 i 4/10 - 4 i 7/10 = -10 i 11/10 = -11 i 1/10
-8 i 1/6 + 2 i 2/3 = -8 i 1/6 + 2 i 4/6 = -49/6 + 16/6 = -33/6 = -5 i 3/6 = -5 i 1/2
4 i 3/4 - 1 i 7/8 = 4 i 6/8 - 1 i 7/8 = 38/8 - 15/8 = 23/8 = 2 i 7/8
4 i 4/9 + (-1 i 5/6) = 4 i 8/18 - 1 i 15/18 = 80/18 - 33/18 = 47/18 = 2 i 11/18
4 i 4/9 * (-3 i 3/8) = 40/9 * (-27/8) = -1080/72 = -15/1 = -15
(-8 i 2/3) : (-1 i 4/9) = (-26/3) : (-13/9) = (-26/3) * (-9/13) = 234/39 = 6/1 = 6
-6 i 1/2 - 2 i 2/3 : (-2/9) = -6 i 1/2 - 8/3 * (-9/2) = -6 i 1/2 + 72/6 = -6 i 1/2 + 12 = 5 i 1/2
-5 i 5/9 : (5 i 5/6 - 10) = -50/9 : (-4 i 1/6) = -50/9 : (-25/6) = -50/9 * (-6/25) = 300/225 = 4/3 = 1 i 1/3
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Odpowiedź:
Szczegółowe wyjaśnienie:
Zad 8
a)
5 - 2/3 = 15/3 - 2/3 = 13/3 = 4 i 1/3
b)
4 i 1/2 + 3/4 = 4 i 2/4 + 3/4 = 4 i 5/4 = 5 i 1/4
c)
-2 i 2/3 + 1 i 1/3 = -8/3 + 4/3 = -4/3 = -1 i 1/3
d)
-4 i 2/3 + 1 = -14/3 + 3/3 = -11/3 = -3 i 2/3
e)
-3 i 1/2 + 6 = -7/2 + 12/2 = 5/2 = 2 i 1/2
f)
-4 i 1/5 - 5 i 4/5 = -21/5 - 29/5 = -50/5 = -10
g)
(-1/3) * (-3/5) = 3/15 = 1/5
h)
1 i 1/2 * 2 = 3/2 * 2 = 6/2 = 3
i)
-3/5 : 2 = -3/5 * 1/2 = -3/10
j)
(-1 i 1/3) * 3/4 = (-4/3) * 3/4 = -12/12 = -1
k)
-5 : 2/5 = -5 * 5/2 = -25/2 = -12 i 1/2
l)
6 : (-1 i 1/2) = 6 : (-3/2) = 6 * (-2/3) = -12/3 = -4
Zad 9
a)
-6 i 2/5 - 4 i 7/10 = -6 i 4/10 - 4 i 7/10 = -10 i 11/10 = -11 i 1/10
b)
-8 i 1/6 + 2 i 2/3 = -8 i 1/6 + 2 i 4/6 = -49/6 + 16/6 = -33/6 = -5 i 3/6 = -5 i 1/2
c)
4 i 3/4 - 1 i 7/8 = 4 i 6/8 - 1 i 7/8 = 38/8 - 15/8 = 23/8 = 2 i 7/8
d)
4 i 4/9 + (-1 i 5/6) = 4 i 8/18 - 1 i 15/18 = 80/18 - 33/18 = 47/18 = 2 i 11/18
e)
4 i 4/9 * (-3 i 3/8) = 40/9 * (-27/8) = -1080/72 = -15/1 = -15
f)
(-8 i 2/3) : (-1 i 4/9) = (-26/3) : (-13/9) = (-26/3) * (-9/13) = 234/39 = 6/1 = 6
g)
-6 i 1/2 - 2 i 2/3 : (-2/9) = -6 i 1/2 - 8/3 * (-9/2) = -6 i 1/2 + 72/6 = -6 i 1/2 + 12 = 5 i 1/2
h)
-5 i 5/9 : (5 i 5/6 - 10) = -50/9 : (-4 i 1/6) = -50/9 : (-25/6) = -50/9 * (-6/25) = 300/225 = 4/3 = 1 i 1/3