What are requirements for prevailing wage to independent subcontractor? Are fringe benefits required if sub bid on proj

Are fringe benefits required to be paid to an independent contractor or subcontractor on a prevailing wage job in CT. The prevailing wage is required but are fringe benefits required? Subcontractor is not paid by the hour typically. He is paid by an agreed upon price for the project. Paid with check from our company for the entire project. Thank you.