How do you convert 0.38 (8 being repeated) to a fraction?

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Answer 1 · 2016-03-17T04:43:37

#7/18#

We first let 0.38 (8 being repeated) be #x#.

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

#10x = 3.88#

Next, we subtract them.

#10x - x = 3.88 - 0.38#

#9x = 3.5#

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

#x = 3.5/9#

#= 35/90#

#= 7/18#