How do you convert 0.83 (3 being repeated) to a fraction?

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Answer 1 · 2016-03-17T04:45:03

#5/6#

We first let 0.83 (3 being repeated) be #x#.

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

#10x = 8.33#

Next, we subtract them.

#10x - x = 8.33 - 0.83#

#9x = 7.5#

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

#x = 7.5/9#

#= 75/90#

#= 5/6#