Divide the APR by 100 and by the number of compounds in a year. Add 1, raise that to the number of compounds, and subtract 1. Multiply by 100 to read it as a percent. Monthly compounding uses 12. A 5% APR compounded monthly is 5.12% APY.
Once-a-year compounding makes the APY equal the APR. This conversion does not add fees. An APR that already folds in fees is a different quote from a nominal rate, and this page treats the number you type as the nominal rate.