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(b) What is 0.36 (Six is Repeating) expressed as a fraction in simplest form? Show work please

(b) What is 0.36 (Six is Repeating) expressed as a fraction in simplest form? Show work please
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(b) What is 0.36 (Six is Repeating) expressed as a fraction in simplest form?

Show work please

User Cogman
by
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1 Answer

3 votes
a = 0.366666 ... = 0.3(6)

10a = 3.(6)
100 a = 36.(6)
100a - 10a = 36.(6) - 3.(6)
90a = 33
a=33/90=11/30
oh wait lol i didnt notice it was from 2017
User Flaschbier
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