Round up. Round down.
In my checking account ledger I round up to the nearest dollar all debits and round down to the nearest dollar all credits.
So $47.32 for gas gets recorded as $48. And a deposit for $23.74 gets recorded as $23.00.
Every 6 months or so I balance the checking account for real and add the extra money to my savings account or use it for something special, like our summer vacation. It's usually around $500 a year.
This idea will not work for anal-types who have to balance their checkbook to the penny each month.