(3 1/4 × (-14 4/5 - 4/15) + 47) :5 9/10

(3 1/4 * (-14 4/5 - 4/15) + 47) : 5 9/10 = (3 1/4 * (-74/5 - 4/15) + 47) : 5 9/10 = (3 1/4 * ((-74 * 3 - 4)/15) + 47) : 5 9/10 = (3 1/4 * ((-222 - 4)/15) + 47) : 5 9/10 = (13/4 * (-226/15) + 47) : 5 9/10 = ((-2938/60) + 47) : 5 9/10 = (-48 58/60 + 47) : 59/10 = (-1 58/60) * (10/59) = (-118/60) * (10/59) = -118/354 = -1/3.