How do you convert 0.16 (16 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:25:28

#16/99#

We first let 0.16 be #x#.

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

#100x = 16.16#

Next, we subtract them.

#100x - x = 16.16 - 0.16#

#99x = 16#

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

#x = 16/99#