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21-09-2021
Mathematics

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What is the fractional equivalent of the repeating decimal 06?

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LammettHash LammettHash

23-09-2021

If you mean x = 0.666…, then

10x = 6.666…

10x - x = 6.666… - 0.666…

9x = 6

x = 6/9 = 2/3

If you mean x = 0.060606…, then

100x = 6.060606…

100x - x = 6.060606… - 0.060606…

99x = 6

x = 6/99 = 2/33

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