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Tate Garringer · Answer 1 · 2021-05-07T18:10:12+0000

Let x = 1.4888... .

Then 10x = 14.888... and 100x = 148.888..., so that

100x - 10x = 148.888... - 14.888...

90x = 147

x = 147/90 = 49/30