Prove why 0.87 recurring is equal to the fraction 87/99 (Ps both the 8 and the 7 are recurring)

asked Jan 14, 2015 88.9k views

5 votes

Prove why 0.87 recurring is equal to the fraction 87/99

(Ps both the 8 and the 7 are recurring)

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2 votes

0.87
99 | 870
-792
780
-693
87
Since it is now 87 again, the process repeats, yielding 0.87 recurring

Jpskgc answered Jan 21, 2015

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