Today I saw 1/1 and 1/2 written in one of my pieces beneath the pedal markings.
Do these have a meaning or is it a misprint?
It is a little hard to tell without seeing the music, but these are unlikely to be time-signatures and marcato markings. The "^" is probably a variable pedal mark, particularly if it is connected to the lines showing the pedal markings. This page shows how this is usually used, it
This also explains the use of 1/1 and 1/2, indicating either full or half lifting of the pedal. As this page explains, you can have many "degrees of pedal, such as half, quarter or even eighth pedal."