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katrin [286]
3 years ago
12

Express 9.21212121212... as a rational number, in the form pq

Mathematics
1 answer:
Mice21 [21]3 years ago
7 0
x=9.212121\ldots=9.\overline{21}
100x=921.212121\ldots=921.\overline{21}
99x=921.\overline{21}-9.\overline{21}=921-9=912
\implies x=\dfrac{912}{99}=\dfrac{304}{33}
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