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0.39 repeating as a fraction in simplest form
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0.39 repeating as a fraction in simplest form

User MickG
by
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1 Answer

2 votes

It depend on the repeating part.

If x = 0.393939… (the repeating part is underlined), then 100x = 39.393939…, and

100x - x = 39.393939… - 0.393939…

99x = 39

x = 39/99 = 13/33

On the other hand, if you mean x = 0.3999…, then 10x = 3.999… and 100x = 39.999…, so that

100x - 10x = 39.999… - 3.999…

90x = 36

x = 36/90 = 2/5

User Michaella
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