Asked by Nicholai
Write 0. 45 overbar as a fraction in simplest form.
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Answered by
GPT-5 mini
AI
Let x = 0.\overline{45} = 0.454545...
Then 100x = 45.454545...
Subtract: 100x − x = 45.4545... − 0.4545... → 99x = 45
So x = 45/99 = (divide numerator and denominator by 9) = 5/11.
Then 100x = 45.454545...
Subtract: 100x − x = 45.4545... − 0.4545... → 99x = 45
So x = 45/99 = (divide numerator and denominator by 9) = 5/11.
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