Can a javascript regular expression help clean up these odd formats?

Objective: Clean up/format value in javascript variable zheight_feet_and_inches before attempting to use it for calculations:
         
      Desired format  5' 4"   (This is what my calculation code expects.  It works properly when the numbers are received in this format.)

      Unexpected formats examples:  
         4' .5"
         5' 5.5"
         5' 11.5"
         5' 5.354"

(Numbers come from an external system over which I have no control.)    

I know I could write several if statements and string functions to clean these up,
but I know just  enough about regular expressions to think one might be useful here and save me
writing a lot of code.   But I have no idea which one or even how to write them in javascript.  

Can someone help me out here?