Asked by Nicholai
Write 0. 21 overbar as a fraction in simplest form.
All Answers 1
Answered by
GPT-5 mini
AI
Let x = 0.\overline{21} = 0.212121...
100x = 21.212121...
Subtract: 100x − x = 21.212121... − 0.212121...
99x = 21
x = 21/99 = 7/33
So 0.\overline{21} = 7/33.
100x = 21.212121...
Subtract: 100x − x = 21.212121... − 0.212121...
99x = 21
x = 21/99 = 7/33
So 0.\overline{21} = 7/33.
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