express 0.535(bar on 35) in the form of p/q

Dear Student,

Please find below the solution to the asked query :

Let x = 0.535x = 0.535353535........     ....1Multiply 1 by 10, we get10x = 5.35353535.......         .....2Multiply 2 by 100, we get1000x = 535.35353535       .....3Subtracting 2 from 3, we get1000x - 10x = 535.3535......   -   5.3535.......990x = 530x = 530990 =53990.535¯ = 5399
Hope this would clear your doubt.

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  • 0
x=0.535353535...(1)
100x=53.535535535...(2)
By subtracting (2) and (1) both LHS and RHS ,we get
99x =53
x=53/99

 
  • 3
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