Odpowiedź:
Szczegółowe wyjaśnienie:
2.3
a)
1/8 + 2/18 + 3/24 = 1/8 + 1/9 + 1/8 = 2/8 + 1/9 = 1/4 + 1/9 = 9/36 + 4/36 = 13/36
b)
1/2 - 1/3 - 1/4 = 6/12 - 4/12 - 3/12 = - 1/12
c)
1/2 - (1/3 - 1/4) = 1/2 - 1/3 + 1/4 = 3/4 - 1/3 = 9/12 - 4/12 = 5/12
d)
1/2 - 1/3 • 1/4 = 6/12 - 1/12 = 5/12
e)
(1/2 : 2/3) : 3/4 = (1/2 • 3/2) • 4/3 = 1/3 • 4/3 = 4/9
f)
1/2 :( 2/3 : 3/4) = 1/2 • 3/2 • 4/3 = 3•4/2•2•3 = 1
2. 4
a) 0,4= 4/10 =2/5
b) 0,45 = 45/100 = 9/20
c) 0,08 = 8/100 = 2/25
d) 0,375 = 375/1000 = 15 /40 = 3/8
2,5
a) 2/3 = 0,666666..., = 0,(6)
b) 5/7 = 0,714285714285..., = 0,(714285)...,
c) 11/90 = 1,222222 =1,1(2)
Zad. 2.3
Zad. 2.4
Zad. 2.5
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Odpowiedź:
Szczegółowe wyjaśnienie:
2.3
a)
1/8 + 2/18 + 3/24 = 1/8 + 1/9 + 1/8 = 2/8 + 1/9 = 1/4 + 1/9 = 9/36 + 4/36 = 13/36
b)
1/2 - 1/3 - 1/4 = 6/12 - 4/12 - 3/12 = - 1/12
c)
1/2 - (1/3 - 1/4) = 1/2 - 1/3 + 1/4 = 3/4 - 1/3 = 9/12 - 4/12 = 5/12
d)
1/2 - 1/3 • 1/4 = 6/12 - 1/12 = 5/12
e)
(1/2 : 2/3) : 3/4 = (1/2 • 3/2) • 4/3 = 1/3 • 4/3 = 4/9
f)
1/2 :( 2/3 : 3/4) = 1/2 • 3/2 • 4/3 = 3•4/2•2•3 = 1
2. 4
a) 0,4= 4/10 =2/5
b) 0,45 = 45/100 = 9/20
c) 0,08 = 8/100 = 2/25
d) 0,375 = 375/1000 = 15 /40 = 3/8
2,5
a) 2/3 = 0,666666..., = 0,(6)
b) 5/7 = 0,714285714285..., = 0,(714285)...,
c) 11/90 = 1,222222 =1,1(2)
Zad. 2.3
Zad. 2.4
Zad. 2.5