The repeating decimal, 0.ModifyingAbove 27 with bar, is converted to the fraction 0.ModifyingAbove 27 with bar = StartFraction 3 Over x EndFraction. What is the value of x in th…

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asked Oct 2, 2021 85.5k views

2 Answers

Tan Nguyen · Answer 1 · 2021-10-09T11:09:33+0000

9514 1404 393

Answer:

x = 11

Explanation:

A 2-digit repeating decimal fraction will have two 9s as the denominator. In this case the fraction can be reduced.

$0.\overline{27}=(27)/(99)=(3)/(11)$

Comparing this to 3/x, we see that x = 11.