Wrong.
$100 loans out $90 to another bank that then loans out $80 to consumer. No more money was created. Bank 1 has $10, Bank 2 has $10, consumer has $80.
The problem arises when banks use their claims to borrow against:
Bank 1 has only $10 but has claims on $90 so they borrow $90 against those. Bank 2 has only $10 but they have claims of $80 so they borrow $80 and use the claim as collateral.
Now if consumer defaults on his $80, the banking system loses not only $20 but $190 if the banks can't pay back those.
That is essentially what happened with the subprime crisis.
Again, I used to think like you about the whole fractional reserve thing, but I think I may have been wrong.