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In math class
Those who won the first and second prizes accounted for three-fifths of the total winners, that is, those who won the third prize accounted for two-fifths of the total winners.

14/ 15 of the total number of winners won the second and third prizes, that is,115 of the total number of winners won the first prize.

Therefore,1-115-2/5 = 8/15 of the total number of winners who won the second prize.