The best replacement for half is halve.

The best alternatives to half are rated as following:
★★★★★  halve
★★★★★  full duplex
★★★  heavy cream
★★  full windsor
★★  milk
★★  full day kindergarten
★  whipping cream
★  one half
★  cream
★  step
★  whole milk
★  half of
★  amazon
★  evaporated milk
★  full duplex ethernet
  light cream
  heavy whipping cream
  step siblings
  full bathroom
  full helmet
  non dairy creamer
  full eternity ring
  black and tan
  full windsor knot
  not to half
  coffee mate
  fewer than half
  double time
  coffee creamer

Your alternative for half is not listed? Suggest!
Speaking about half, one probably shouldn't forget about hyphen.

Other search terms related to half and their ratings are:

★★★★★ hyphen
heavy cream
You have in mind a companion for half and it is not yet here? Propose!

Google Trends

Scale is based on the average worldwide traffic of half in all years. Click on graph for more.
full duplex