Question

Covert this repeating decimal into a fraction ANSWER CHOICES 4936/990, 530/900,674/990,8099/990

Answer 1

53/90

I plugged the answer choices into the calculator and this was the correct one

Answer 2

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