# How do you convert 0.2 (2 being repeated) to a fraction?

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Mar 16, 2016

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We let 0.2 be

Since

#10x = 2.2#

Next, we subtract them.

#10x - x = 2.2 - 0.2#

#9x = 2#

Lastly, we divide both sides by 9 to get

#x = 2/9#

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