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

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

(Ps both the 8 and the 7 are recurring)

User Paul Gibbs
by
7.7k points

1 Answer

2 votes
0.87
99 | 870
-792
780
-693
 87
Since it is now 87 again, the process repeats, yielding 0.87 recurring
User Jpskgc
by
8.3k points
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