Answers

2016-05-06T20:32:58+05:30
X=1.272727.............(1)
      multiply both sides by 100
100x=100*1.2727.......
100x=127.2727.....
100x=126+1.272727......
100x=126+x   [from (1)]
100x-x=126
99x=126
    x=126/99=42/33
                   =14/11
    
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2016-05-06T20:43:06+05:30
Let x = 1.272727...........
Because two digits are repeating, we multiply x by 100
     100x = 12.272727...........
So, 100x = 126 + 1.272727... = 126 + x
   ∴ 100x - x = 126
    = 99x = 126
So x = 126/99
        = 14/11
So x = 14/11


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I made a mistake 100x = 12.272727........... is 100x = 127.272727...........