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Express the following repeating decimal as a fraction in simplest form.

Express the following repeating decimal as a fraction in simplest form.-example-1
User Boobalan
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1 Answer

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Answer:


0.\overline{369} = (41)/(111)

Explanation:

x = 0.369369369...

10x = 3.69369369...

100x = 36.9369369...

1000x = 369.369369...

1000x - x = 369

999x = 369


x = (369)/(999) \\\\x = (123)/(333)\\\\x = (41)/(111)

User Paperjam
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