How do you convert 2.90 (90 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:24:33

We first let 2.90 be #x#.

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

#100x = 290.90#

Next, we subtract them.

#100x - x = 290.90 - 2.90#

#99x = 288#

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

#x = 288/99#

#= 32/11#