How do you convert 1.54 (54 being repeated) to a fraction?

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Answer 1 · 2016-03-18T03:55:36

#17/11#

We first let 1.54 (54 being repeated) be #x#.

Since #x# is recurring in 2 decimal places, we multiply it by 100.

#100x = 154.54#

Next, we subtract them.

#100x - x = 154.54 - 1.54#

#99x = 153#

Lastly, we divide both sides by 99 to get #x# as a fraction.

#x = 153/99#

#= 17/11#