CrimsonNeko CrimsonNeko

24-05-2017
Mathematics

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What is the fraction form of the following decimal expansion?
0.81__ (the 81 is repeating)

A. 12/11

B. 10/11

C. 8/11

D. 9/11

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venusssxo venusssxo

24-05-2017

Let x = 0.8181
10x = 8.1818
100x = 81.8181
100x - x = 99x
99x = 81
99x/99 = 81/99
X = 9/11

0.8181(recurring) = 9/11

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Аноним Аноним

24-05-2017

The correct answer is D.

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