0.6 recurring as a percentage

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asked Apr 11, 2017 77.2k views

1 Answer

Fabito · Answer 1 · 2017-04-16T21:30:09+0000

x = 0.6666.... |multiply both sides by 10

10x = 6.666...

10x - x = 6.666... - 0.666...

9x = 6 |divide both sides by 9

x = 6/9

x = 2/3

0.666... = 2/3

2/3 = 2/3 · 100% = 200/3% = 66 2/3 %

0.6 recurring as a percentage

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