Question

write 0.2727272727272727...….. in the form of a rational number​

Answer 1

Answer:  Let x= 0.27(bar on 27)

100x= 27.27( bar on 27 which is after decimal)

Subtracting both equations together, we get,

100x - x= 27.27- 0.27( bar on both 27 after decimal)

99x= 27

x=27/99

x= 3/11

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Answer 2

0.27272727........ can be written as 0.27 ( bar on 27 after point )

X= 0.27 ( bar on 27 )

total numbers repeating are 2 , so we will multiply 100 on both sides

100×X = 100 × 0.2727

100x = 27.27

100x = 27 + 0.27

100x = 27 + x ( 0.27 can be written as x )

100x - x = 27

99x = 27

x = 27/ 99

x = 3/11 ans

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