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If Stacey is able to paint 3/4 of the bedroom in 3 hours, then 1/4 of the bedroom is left to paint.
To paint the remaining 1/4 of the bedroom, it would take her (1/4) * 3 = 3/4 of an hour.
Therefore, the total time it would take her to paint the entire room is 3 hours + 3/4 hour = 12/4 + 3/4 = 15/4 hours.
Since 15/4 hours is equivalent to 3 3/4 hours, the answer is B. 9/4 hours.