Zamień ułamki dziesiętne okresowe na ułamki zwykłe.
0,(3) 1,(2) 0,(5) 1,(45) 0,(258) 3,5(34)
0,(3) x = 0,333...10x = 3,333... 10x - x = 3,333... - 0,333...9x = 3/:9x = 3/9=========================================1,(2) x = 1,222...10x = 12,222...10x - x = 12,222... - 1,222...9x = 11/:9x = 11/9=========================================0,(5) x = 0,555...10x = 5,555...10x - x = 5,555... - 0,555...9x = 5/:9x = 5/9=========================================1,(45) x = 1,4545...100x = 145,4545...100x - x = 145,4545.... - 1,4545...99x = 144/:99x = 144/99========================================0,(258)
x = 0,258...1000x = 258,258...1000x - x = 258,258... - 0,258..999x = 258/999x = 258/999========================================3,5(34)x = 3,534...1000x = 3534,3434....1000x - 10x = 3534,3434... - 35,3434...990x = 3499/:990x = 3499/990
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0,(3)
x = 0,333...
10x = 3,333...
10x - x = 3,333... - 0,333...
9x = 3/:9
x = 3/9
=========================================
1,(2)
x = 1,222...
10x = 12,222...
10x - x = 12,222... - 1,222...
9x = 11/:9
x = 11/9
=========================================
0,(5)
x = 0,555...
10x = 5,555...
10x - x = 5,555... - 0,555...
9x = 5/:9
x = 5/9
=========================================
1,(45)
x = 1,4545...
100x = 145,4545...
100x - x = 145,4545.... - 1,4545...
99x = 144/:99
x = 144/99
========================================
0,(258)
x = 0,258...
1000x = 258,258...
1000x - x = 258,258... - 0,258..
999x = 258/999
x = 258/999
========================================
3,5(34)
x = 3,534...
1000x = 3534,3434....
1000x - 10x = 3534,3434... - 35,3434...
990x = 3499/:990
x = 3499/990