How do you convert #3.8bar3# (with a repeating #3#) to a fraction?

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Answer 1 · 2018-03-04T05:09:26

#3.8bar(3)=23/6 or 3 5/6#.

Let #x# equal the decimal. Set up two equations such that the digits after the decimal point are identical.

#100x=383.3333...#

#10x=38.3333...#

Subtracting the two equations, we have:

#90x=345#

So

#x=345/90#

#x=23/6 = 3 5/6#