How do you convert 0.9 (9 being repeated) to a fraction?

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Answer 1 · 2016-03-17T04:46:58

#1/1#

We first let 0.9 (9 being repeated) be #x#.

Since #x# is recurring in 1 decimal places, we multiply it by 10.

#10x = 9.9#

Next, we subtract them.

#10x - x = 9.9 - 0.9#

#9x = 9#

Lastly, we divide both sides by 9 to get #x# as a fraction.

#x = 9/9#

#= 1#