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

Covert This Repeating Decimal Into A Fraction ANSWER CHOICES 4936990 5309006749908099990 class=

Sagot :

desaniamiya101

Answer: 53/90

Step-by-step explanation:

Okie so in order to do this, we need to get rid of the repeating part of the decimal

==============================================================

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

==============================================================

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

53/90

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

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