How do you convert #0.4bar3 (3# being repeated) to a fraction?

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Answer 1 · 2016-03-18T03:54:08

#13/30#

We first let 0.43 (3 being repeated) be #x#.

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

#10x = 4.33#

Next, we subtract them.

#10x - x = 4.33 - 0.43#

#9x = 3.9#

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

#x = 3.9/9#

#= 39/90#

#= 13/30#