Answer:
- 48 ft 1 9/16 in
- 2 ft 9 5/8 in
- 18° 53' 56"
Explanation:
Addition of mixed units is conceptually done the same way that addition of mixed numbers is done. "Like" portions are combined, and conversion from one representation to another is accomplished as necessary to "simplify" the result. Fractions are added in the usual way, by making use of a common denominator.
1.
The sum is ...
(9 +22 +15) ft +(7 5/8 +6 3/4 +11 3/16) in
= 46 ft +(7 +6 +11 +10/16 +12/16 +3/16) in
= 46 ft +(24 + 25/16) in . . . . . . . . 24 in = 2 ft
= 48 ft 1 9/16 in
2.
The difference is ...
(17 -14) ft +(7 1/2 -9 7/8) in
= 3 ft +((7 -9) +(4/8 -7/8)) in
= 3 ft +(-2 -3/8) in
= 2 ft +(12 -2 3/8) in . . . . . . . . . 1 ft = 12 in
= 2 ft 9 5/8 in
3.
The difference is ...
(59 -40)° +(37 -43)' +(18 -22)"
= 19° +(-6)' +(-4)"
= 18° +(60 -6)' +(-4)" . . . . . 1° = 60'
= 18° +54' -4"
= 18° 53' +(60 -4)" . . . . . 1' = 60"
= 18° 53' 56"