Subtract and simplify
1 answer:
Answer:
- 9 ft 8 in
- 12 gal 3 qt
- 8 yd 1 ft 10 in
Step-by-step explanation:
There are several different ways you can work problems like this. The method you may prefer may be different from the one I prefer. At least, they include ...
- You can treat the smaller units as a fraction of the larger unit: 23 7/12 -13 11/12. Then subtracting mixed numbers proceeds in any of the usual ways. You may even be able to use a calculator for this.
- You can "subtract by adding": 8 inches added to the subtrahend makes it 14 ft 7 in; then adding 9 ft makes it 23 ft 7 in. The difference is then seen to be 9 ft 8 in.
- You can subtract the different units separately, then "make change" or "borrow" as required. 23'7" -13'11" = 10'(-4)" = 9'8". (This is probably the method I prefer.)
- An on-line calculator may be able to handle the mixed units to your satisfaction (see attached).
___
1. There are 12 inches in a foot.
23 ft 7 in - (13 ft 11 in) = (23 -13) ft (7 -11) in = 10 ft (-4) in = 9 ft 8 in
__
2. There are 4 quarts in a gallon.
18 gal 2 qt - (5 gal 3 qt) = (18 -5) gal (2 -3) qt = 13 gal (-1) qt = 12 gal 3 qt
__
3. There are 3 feet in a yard and 12 inches in a foot.
21 yd 1 ft 7 in -(12 yd 2 ft 9 in) = (21 -12) yd (1 -2) ft (7 -9) in
= 9 yd (-1) ft (-2 in)
= 8 yd 2 ft (-2) in
= 8 yd 1 ft 10 in
You might be interested in