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2009-09-07T17:01:22+02:00

a)

x=0,2(6) 

10x = 2,6(6)

10x-x = 2,6(6)-0,2(6)

9x = 2,4

9x = 24/10 |:9

x = 24/90 = 4/15

 

b)

x = 0,41(6)

1000x = 416,(6)

100x = 41,(6)

1000x-100x = 416,(6)-41,(6)

900x = 375 |:900

x = 375/900 = 5/12

 


c)

x = 1,2(13)

1000x = 1213,(13)

10x = 12,(13)
1000x - 10x = 1213,(13)-12,(13)
900x = 1201/:990
x = 1201/990


d)

x = -2,34(5)

1000x = -2345,(5)

100x = -234,(5)

1000x-100x = -2345,(5)-[-234,(5)]

900x = -2111 |:900

x = -2111/900

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