How do you convert 7.12 (12 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:26:48

#235/33#

We first let 7.12 be #x#.

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

#100x = 712.12#

Next, we subtract them.

#100x - x = 712.12 - 7.12#

#99x = 705#

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

#x = 705/99#

#= 235/33#