yalv3819 yalv3819

10-09-2020
Mathematics

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Convert 8.132132132 ... to a rational expression in the form of a over b , where b ≠ 0.

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LammettHash LammettHash

10-09-2020

Let x = 8.132132132...

Then 1000x = 8132.132132132...

Subtract x from 1000x to eliminate the fractional part:

1000x - x = 8132.132132132... - 8.132132132...

999x = 8132 - 8 = 8124

x = 8124/999 = 2708/333

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