Ohio Rev. Code Ann. § 1701.24
(C) A corporation is not obligated to but may issue fractional shares. The holder of a fractional share is entitled to exercise the rights of a shareholder, including the right to vote, to receive dividends, and to participate in the assets of the corporation upon liquidation. In the case of uncertificated securities, the corporation may proceed as provided in divisions (C)(1) and (2) of this section. In the case of certificated securities, the corporation may execute and deliver a certificate for or including a fraction of a share or, in lieu thereof, may do any of the following: