Zamień ułamek dziesiętny nieskończony okresowy na ułamek zwykły: c) c=1,(14) d) d=2,(145) e) e=0,3(52) f) f+ 1,00(2) g) g=0,0(178) h) h=0,0(12) i) i=2,03(8) PILNE
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c) c=1,(14)
1.(14)=?
x=1.1414...
100x=114.1414...
100x- x= 114.1414...-1.1414...
99x=113
x=113/99
x=1 14/99
d) d=2,(145)
2.(145)=?
x=2.145145...
1000x=2145.145145...
1000x- x= 2145.145145...-2.145145...
999x=2143
x=2143/999
x=2 145/999
e) e=0,3(52)
0.3(52)=?
10x=3.5252...
1000x=352.5252...
1000x- 10x= 352.5252...-3.5252...
990x=349
x=349/990
f) 1,00(2)
1.00(2)=?
100x=100.22...
1000x=1002.22...
1000x- 100x= 1002.22...-100.22...
900x=902
x=902/900
x=1 2/900
x=1 1/450
g) g=0,0(178)
0.0(178)=?
10x=0.178178...
10000x=178.178178...
10000x- 10x= 178.178178...-0.178178...
9990x=178
x=178/9990
x=89/4995
h) h=0,0(12)
0.0(12)=?
10x=0.1212...
1000x=12.1212...
1000x- 10x= 12.1212...-0.1212...
990x=12
x=12/990
x=2/165
i=2,03(8)
2.03(8)=?
100x=203.88...
1000x=2038.88...
1000x- 100x= 2038.88...-203.88...
900x=1835
x=1835/900
x=2 35/900
x=2 7/180