Odpowiedzi

2013-07-13T11:23:53+02:00

a)

 x=1.41414141...

100x=141.414141...

100x-x = 141.414141... - 1.414141...

  99x = 140 /:99

  x=\frac{140}{99}\\\ x=1\frac{41}{99}

 

 

b)

x=0.21111...

10x=2.1111111...

100x=21.11111...

100x-10x=21.11111... - 2.11111 ...

  90x= 19 /:90

 x=\frac{19}{90}

 

c)

x=27.0515151...

10x=270.51515151...

1000x=27051.51515151...

1000x-10x = 27051.51515151... - 270.51515151 ...

 990x = 26781 /:990

 x=\frac{26781}{990}\\\ \\\ x=27\frac{51}{990}

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2013-07-13T12:11:37+02:00