How do you convert 1.19 (9 being repeated) to a fraction?

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Answer 1 · 2016-03-18T03:48:45

#6/5#

We first let 1.19 (9 being repeated) be #x#.

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

#10x = 11.99#

Next, we subtract them.

#10x - x = 11.99 - 1.19#

#9x = 10.8#

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

#x = 10.8/9#

#= 108/90#

#= 6/5#