1) Dla jakiej wartości parametru m wartosć wyrażenia jest równa 0?
a)
b)
c)
d)
e)
f)
2) Podaj największą liczbę całkowitą mniejszą od liczby p.
a)
b)
c)
d)
e)
f)
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1.
a) = 0
m = -1/2 + 1/3
m = -3/6 + 2/6
m = -1/6
b) = 0
m = -2/5 + 3/4
m = -8/20 + 15/20
m = -7/20
c) = 0
2m = 4/3 - 9/4
2m = 16/12 - 27/12
2m = -11/12
m = -11/12 * 1/2
m = -11/24
d) = 0
7/3m = -7/2 + 7/6
7/3m = -21/6 + 7/6
7/3m = -14/6
m = -14/6 * 3/7
m = -42/42
m = -1
e) = 0
2/3m = 3/2 - 3/4
2/3m = 6/4 - 3/4
2/3m = 3/4
m = 3/4 * 3/2
m = 9/8
f) = 0
1/8m = 35 + 5/4
1/8m = 140/4 + 5/4
m = 145/4 * 8
m = 1160/4
m = 290
2.
a)
p = 22/5 : (14/30 - 3/30)
p = 22/5 : 11/30
p = 22/5 * 30/11
p = 660/55
p = 12
liczba >>> 11
b)
p = 11/8 : (15/12 - 14/12)
p = 11/8 : 1/12
p = 11/8 * 12
p = 132/8
p = 16,5
liczba >>> 16
c)
p = 3/2 - 5/3 + 1/4 * 6 - 5/12
p = 3/2 - 5/3 + 6/4 - 5/12
p = 18/12 - 20/12 + 18/12 - 5/12
p = 11/12
liczba >>> 0
d)
p = 1/14 + 17/8 - 3/2 : (-1/12 - 7/6)
p = 1/14 + 17/8 - 3/2 : (-1/12 - 14/12)
p = 1/14 + 17/8 - 3/2 : -15/12
p = 1/14 + 17/8 - 3/2 * -12/15
p = 1/14 + 17/8 + 36/30
p = 240/3360 + 7140/3360 + 4032/3360
p = 11412/3360
p = 3 + 1332/3360
p = 3 + 111/140
liczba >>> 0
e)
p = 4/5 + 21/10 - 1/2 : (3/5 - 2/15 + 1/5)
p = 4/5 + 21/10 - 1/2 : (9/15 - 2/15 + 3/15)
p = 8/10 + 21/10 - 1/2 : 10/15
p = 29/10 - 1/2 * 15/10
p = 29/10 - 15/20
p = 58/20 - 15/20
p = 43/20
p = 2,15
liczba >>> 2
f)
p = 10/3 - 2/9 + 1/2 : (3/18 - 5/18 + 18/18)
p = 30/9 - 2/9 + 1/2 : 16/18
p = 28/9 + 1/2 * 18/16
p = 28/9 + 18/32
p = 896/288 + 162/288
p = 1058/288
p = 3 + 194/288
p = 3 + 97/144
liczba >>> 3