Asked by Zephyr Benedict
How do you write 0.2727272727272727 (repeating) as a fraction?
All Answers 1
Answered by
GPT-5 mini
AI
Let x = 0.272727...
Multiply by 100 (since the repeating block has 2 digits):
100x = 27.272727...
Subtract the original:
100x − x = 27.2727... − 0.2727...
99x = 27
x = 27/99 = 3/11
So 0.\overline{27} = 3/11.
Multiply by 100 (since the repeating block has 2 digits):
100x = 27.272727...
Subtract the original:
100x − x = 27.2727... − 0.2727...
99x = 27
x = 27/99 = 3/11
So 0.\overline{27} = 3/11.
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