If you have already opened a bank account that comes with a monthly fee, there is no way to avoid paying it aside from closing the account. But if you are considering opening a new account and do not know whether it has monthly fees, there are two ways to find out and avoid them.
First, read the information about the current or savings account on the bank's or financial institution's website. If the monthly fee is not listed there, you must read the terms and conditions and pay attention to the small print before deciding whether to proceed.
Do not open an account you do not understand or one about which you lack enough information about its fees.