Answer: 53/90
Explanation:
Okie so in order to do this, we need to get rid of the repeating part of the decimal
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Right now we have x = 0.58888888888888888...
If we multiply this by 10, we get
10x = 5.888888888888888
And if we multiply by 100 we get
100x = 58.8888888888888
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Subtract the two equations
100x = 58.8888888888888
10x = 5.888888888888888
------------------------------------------------- (notice: the repeating part will cancel out)
90x = 53
x = 53/90
This fraction cannot be further simplified