Rating Newest Oldest. Best Answer: A fifth of alcohol is 750 ml or 1/5 of a gallon = 25.6 ounces there are 128 ounces in a gallon a shot is either 1.5 or 1.25 ounces so at 1.5 oz shot there are 17.067 shots at 1.25 oz shots there are 20.48 shots. Source(s): http://answers.yahoo.com/question/index?...