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

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02-09-2016
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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musicotic musicotic · Answer 1 · 2016-09-02T17:30:51+02:00

musicotic musicotic

02-09-2016

[tex]8.13213213213232....=8+\sum_{i=1}^{\infty}\frac{132}{10^{3i}}=8+\frac{\frac{132}{10^3}}{1-\frac{1}{10^3}}=8+\frac{132}{999}=\frac{8124}{999}[/tex]

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recclessboicj recclessboicj · Answer 2 · 2021-04-09T15:52:44+02:00

recclessboicj recclessboicj

09-04-2021

Answer:

8+32/99

Step-by-step explanation:

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