How to add
Q1: 10' feets + 4 1/2" inches + 5 2/3" inches
Q2: 5' feets + 20' feets + 5 2/3" inches


To add fractions, you get a common denominator. To add measurements with different units you get common units.
I recommend you change every thing to feet: 10' is 120 inches so this isQ1: 10' feets + 4 1/2" inches + 5 2/3" inches
120+ 4 1/2+ 5 2/3.
Now since one denominator is 2 and the other 3 (and you get equivalent fractions by multiplying numerator and denominator by the same thing) the "common denominator" is 2*3= 6. If you multiply numerator and denominator of 1/2 by 3, you get 3/6. If you multiply numerator and denominator of 2/3 by 2 you get 4/6. 1/2+ 2/3= 3/6+4/6= 7/6= 1 1/6.
(English lesson: "feet" is already the plural of "foot"- you don't need the additional "s". In fact, the symbol ' after the number means feet and the symbol " after the number means inches- you don't need both.
Use either "10 feet + 4 1/2 inches + 5 2/3 inches" or "10'+ 4 1/2"+ 5 2/3" ".)