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abaid01 abaid01
  • 24-06-2016
  • Mathematics
Answered

What is a equivalent rational number to 1.28 repeating?

Verified Answer :

lilmehaha
lilmehaha lilmehaha
  • 24-06-2016

the line over the 28 means the 28 repeats forever.
1.282828.... and so on

let x be the rational number 1.28...

we can use this trick:
100*1.282828....= 128.282828... (the decimal 28 part repeats)
100x = 128.28...

next:
100x - x = 128.282828... - 1.282828...
the .282828... part will be subtracted away
99x = 127
divide both sides by 99 to get
x= 127/99

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