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Can someone help me out

Can someone help me out-example-1

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Answer: a) x = .555...

=> 10x = 5.55...

=> 10x - x = 5.55... - .555...

=> 9x = 5

=> x = 5/9

b) x = .2525...

=> 100x = 25.25...

=> 100x - x = 25.25... - .2525...

=> 99x = 25

=> x = 25/99

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