How do you convert 1.23 (3 being repeated) to a fraction?

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Answer 1 · 2016-03-17T04:48:20

#37/30#

We first let 1.23 (3 being repeated) be #x#.

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

#10x = 12.33#

Next, we subtract them.

#10x - x = 12.33 - 1.23#

#9x = 11.1#

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

#x = 11.1/9#

#= 111/90#

#= 37/30#