Oblicz:
a) 1-(1/3-(1-1/3)-1)-1/3
b) -(1/3-(1/4-1/6)-(2/3-3/4))
c) 0,09 + (0,9 - (0,99 - (1-0,01))) - 1
d) 5-(1/5-(2/5-(3/5-(1/55-4/55))))
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a) 1-(1/3-(1-1/3)-1)-1/3=
1-(1/3-(3/3-1/3)-3/3)-1/3=
1-(1/3-2/3)-3/3)-1/3=
1-(-1/3-3/3)-1/3=
1-(-4/3)-1/3=
1+4/3-1/3=
3/3+4/3-1/3=
6/3=
2
b) -(1/3-(1/4-1/6)-(2/3-3/4))=
-(-1/3-(3/12-2/12)-(8/12-9/12))=
-(-1/3-1/12-(-1/12))=
-(- 1/3-1/12+1/12)=
-(-1/3)=
1/3
c) 0,09 + (0,9 - (0,99 - (1-0,01))) - 1=
0,09+(0,9-(0,99-0,99))-1=
0,09+0,9-1=
0,99-1=
-0,01
d) 5-(1/5-(2/5-(3/5-(1/55-4/55))))=
5-(1/5-(2/5-(3/5-(-3/55)))=
5-(1/5-(2/5-(3/5+3/55)))=
5-(11/55-(22/55-(33/55+3/55)))=
5-( 11/55-(22/55-36/55))=
5-(11/55-(-14/55))=
5-(11/55+14/55)=
5-25/55=
275/55-25/55=
250/55=
4 i 6/11