To provide a fractional ball-processing device which does not give the player a disadvantage caused by fractional balls, which cannot be exchanged with an award, by displaying whether those balls are present or not and how many they are if they are present.

With an operation of a ball-lending operation part 31, the number of fractional balls is calculated by adding the number (A) of lent balls and the number (B) of awarded balls paid from an award ball-paying mechanism 106, deducting the number (C) of hit balls projected by a hit ball-shooting device 150 to gain the number (E) of presently owned balls, and dividing it by the minimum ball number exchangeable with an award. Whether fractional balls are present or not and how many they are, when they are present, are displayed on a fractional ball-displaying lamp 24 and a number display 35. When the fractional balls are to be reset, a reset switch 31a is to be operated. When game-playing is to be over, the number of fractional balls is added to the data in a pre-paid card by operating a balance-settling switch 35a and the card is returned with the updated data.