Odpowiedź:
Zadanie 4
a)
4/5+1/10= 8/10 + 1/10 = 9/10
b)
1/6+2/3= 1/6 + 4/6= 5/6
c)
2/3+1/5=10/15 + 3/15= 13/15
d)
4/7+1/2=8/14 + 7/14= 15/14= 1 i 1/14
e)
8/9-1/3=8/9 - 3/9= 5/9
f)
3/10-1/5= 3/10 - 2/10 = 1/10
g)
4/5-2/3=12/15 - 10/15= 2/15
h)
5/7-1/4=20/28 - 7/28 = 13/28
i)
2 i 2/5+ 3 i 1/2= 2 i 4/10 + 3 i 5/10 = 5 i 9/10
j)
4 i 3/7 +2 i 2/3= 4 i 9/21 + 2 i 14/21= 6 i 23/21 = 7 i 2/21
k)
2 i 3/8+1 i1/6= 2 i 9/24 + 1 i 4/24= 3 i 13/24
l)
4 i 1/2+2 i 3/5=4 i 5/10 + 2 i 6/10 = 6 i 11/10 = 7 i 1/10
m)
4 i 1/4-2 i 2/3= 4 i 3/12 - 2 i 8/12 = 3 i 15/12 - 2 i 8/12 = 1 i 7/12
n)
5 i 1/9 -1 i 5/6= 5 i 2/18 - 1 i 15/18= 4 i 20/18 - 1 i 15/18 = 3 i 5/18
o)
3 i 1/15 - 1 i 1/10= 3 i 2/30 - 1 i 3/30 = 2 i 32/30 - 1 i 3/30 = 1 i 29/30
p)
5 i 5/13 - 3 i 1/2=5 i 10/26 - 3 i 13/26= 4 i 36/26 - 3 i 13/26= 1 i 23/26
Zadanie 6
a)1/2+1/3+1/4 = 6/12 + 4/12 + 3/12 = 13/12 = 1 1/12
b)1 2/5+3 4/10+2 1/2 = 1 4/10 + 3 4/10 + 2 5/10 = 6 13/10 = 7 3/10
c)4 1/3-2 2/5+1 1/5 = 4 5/15 - 2 6/15 + 1 3/15 = 3 2/15
d)7-3 1/3-2 1/8 = 7 - 3 8/24 - 2 3/24 = 7 - 5 11/24 = 1 13/24
e)3 3/4-2 2/3+6-3 5/6 = 3 9/12 - 2 8/12 + 6 - 3 10/12 = 9 9/12 - 6 6/12 = 3 3/12 = 3 1/4
f)10-(2 1/9-1/2+1 5/6) = 10 - (2 2/18 - 9/18 + 1 15/18) = 10 - 3 8/18 = 6 10/18 = 6 5/9
g)(4 1/3-2 2/5)-(6 3/5-5 2/3) = (4 5/15 - 2 6/15) - (6 9/15 - 5 10/15) = 1 14/15 - 14/15 = 1
h)3 1/4+2 2/5-(4 1/3-2 2/3) = 3 15/60 + 2 24/60 - 4 20/60 + 2 40/60 = 3 59/60
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Odpowiedź:
Zadanie 4
a)
4/5+1/10= 8/10 + 1/10 = 9/10
b)
1/6+2/3= 1/6 + 4/6= 5/6
c)
2/3+1/5=10/15 + 3/15= 13/15
d)
4/7+1/2=8/14 + 7/14= 15/14= 1 i 1/14
e)
8/9-1/3=8/9 - 3/9= 5/9
f)
3/10-1/5= 3/10 - 2/10 = 1/10
g)
4/5-2/3=12/15 - 10/15= 2/15
h)
5/7-1/4=20/28 - 7/28 = 13/28
i)
2 i 2/5+ 3 i 1/2= 2 i 4/10 + 3 i 5/10 = 5 i 9/10
j)
4 i 3/7 +2 i 2/3= 4 i 9/21 + 2 i 14/21= 6 i 23/21 = 7 i 2/21
k)
2 i 3/8+1 i1/6= 2 i 9/24 + 1 i 4/24= 3 i 13/24
l)
4 i 1/2+2 i 3/5=4 i 5/10 + 2 i 6/10 = 6 i 11/10 = 7 i 1/10
m)
4 i 1/4-2 i 2/3= 4 i 3/12 - 2 i 8/12 = 3 i 15/12 - 2 i 8/12 = 1 i 7/12
n)
5 i 1/9 -1 i 5/6= 5 i 2/18 - 1 i 15/18= 4 i 20/18 - 1 i 15/18 = 3 i 5/18
o)
3 i 1/15 - 1 i 1/10= 3 i 2/30 - 1 i 3/30 = 2 i 32/30 - 1 i 3/30 = 1 i 29/30
p)
5 i 5/13 - 3 i 1/2=5 i 10/26 - 3 i 13/26= 4 i 36/26 - 3 i 13/26= 1 i 23/26
Zadanie 6
a)1/2+1/3+1/4 = 6/12 + 4/12 + 3/12 = 13/12 = 1 1/12
b)1 2/5+3 4/10+2 1/2 = 1 4/10 + 3 4/10 + 2 5/10 = 6 13/10 = 7 3/10
c)4 1/3-2 2/5+1 1/5 = 4 5/15 - 2 6/15 + 1 3/15 = 3 2/15
d)7-3 1/3-2 1/8 = 7 - 3 8/24 - 2 3/24 = 7 - 5 11/24 = 1 13/24
e)3 3/4-2 2/3+6-3 5/6 = 3 9/12 - 2 8/12 + 6 - 3 10/12 = 9 9/12 - 6 6/12 = 3 3/12 = 3 1/4
f)10-(2 1/9-1/2+1 5/6) = 10 - (2 2/18 - 9/18 + 1 15/18) = 10 - 3 8/18 = 6 10/18 = 6 5/9
g)(4 1/3-2 2/5)-(6 3/5-5 2/3) = (4 5/15 - 2 6/15) - (6 9/15 - 5 10/15) = 1 14/15 - 14/15 = 1
h)3 1/4+2 2/5-(4 1/3-2 2/3) = 3 15/60 + 2 24/60 - 4 20/60 + 2 40/60 = 3 59/60