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CBSE Class 9 Answered

how to convert a recurring rational number in the form of p/q. plz write its steps with an example.
 
Asked by eeshan.nk | 23 Mar, 2016, 01:49: PM
answered-by-expert Expert Answer
Example colon
Show space that space 1.2727272.... equals space 1.27 with bar on top space space can space be space expressed space in space the space form space straight p over straight q space where space straight p space and space straight q space are space integers space and space straight q space is space not space equal space to space 0.
Solution colon
Let space straight x space equals space space 1.2727272
Since space two space digits space are space repeating comma space multiply space straight x space by space 100.
rightwards double arrow 100 straight x space equals space 127.2727....
rightwards double arrow 100 straight x space equals space 126 plus 1.2727....
rightwards double arrow 100 straight x space equals space 126 plus space straight x
rightwards double arrow 99 straight x space equals space 126
rightwards double arrow straight x space equals space 126 over 99 equals space 14 over 11
Answered by Rebecca Fernandes | 23 Mar, 2016, 02:07: PM
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