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How do you convert 0.36... (the 6 is repeating) into a fraction in simplest form.

1 Answer

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a = 0.3666 ... = 0.3(6)

10a = 3.(6)
100 a = 36.(6)
100a - 10a = 36.(6) - 3.(6)
90a = 33

a=(33)/(90)=(11)/(30)


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