It’s worth noting that ‘fractional reserve’ isn’t really how banks work anymore. That model implies that banks require reserves to lend money, but they actually don’t (except in the countries that have a reserve requirement, for compliance reasons). The central bank does need to ensure that enough reserves exist in the system to have enough liquidity for banks to transfer money between them, but the banks tend to hold as little as possible, as in most places they don’t get any return on them, so they lend them to other banks (banks
cannot lend reserves to individuals) or exchange them for bonds. If they need more to fulfil transfer requirements, they can just borrow them from other banks or the ‘lender of last resort’ - the central bank itself.
The interesting implication of this is that the central bank doesn’t really have direct control of the size of the money supply (as is implied by the ‘money multiplier’ myth). That is determined endogenously by the amount of lending the banks do (plus other sector’s - Government spending and current account surplus/deficit - contributions).
This Bank of England (UK central bank) paper explains how the banks originate money - https://www.bankofengland.co.uk/-/media/boe/files/quarterly-...