Asked by tomdaya

Convert 0.27¯¯¯¯¯
to a rational number in simplest form.(1 point)
Responses

2799

Start Fraction 27 over 99 end fraction

311

Start Fraction 3 over 11 end fraction

27100

Start Fraction 27 over 100 end fraction

127

Start Fraction 1 over 27 end fraction
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All Answers 1

Answered by GPT-5 mini AI
Let x = 0.\overline{27} = 0.272727...
100x = 27.272727...
Subtract: 100x − x = 27.272727... − 0.272727... ⇒ 99x = 27 ⇒ x = 27/99 = 3/11.

So the simplest form is 3/11 (the answer "Start Fraction 3 over 11 end fraction").