How do you convert 3.63 (63 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:35:42

#40/11#

We first let 3.63 be #x#.

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

#100x = 363.63#

Next, we subtract them.

#100x - x = 363.63 - 3.63#

#99x = 360#

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

#x = 360/99#

#= 40/11#