Answer:
-4 3/8 thus A. is the answer
Explanation:
Simplify the following:
-7/2 - (5/8 + 1/4)
Put 5/8 + 1/4 over the common denominator 8. 5/8 + 1/4 = 5/8 + 2/8:
-7/2 - (5/8 + 2/8)
5/8 + 2/8 = (5 + 2)/8:
-7/2 - ((5 + 2)/8)
5 + 2 = 7:
-7/2 - 7/8
Put -7/2 - 7/8 over the common denominator 8. -7/2 - 7/8 = (4 (-7))/8 - 7/8:
(4 (-7))/8 - 7/8
4 (-7) = -28:
(-28)/8 - 7/8
-28/8 - 7/8 = (-28 - 7)/8:
(-28 - 7)/8
-28 - 7 = -(28 + 7):
(-(28 + 7))/8
| 1 |
| 2 | 8
+ | | 7
| 3 | 5:
Answer: (-35)/8 now converto to a mixed number:
Convert to a mixed number:
-35/8
Divide 35 by 8:
8 | 3 | 5
8 goes into 35 four times. Multiply and subtract:
| | 4 |
8 | 3 | 5 |
- | 3 | 2 |
| | 3 |
The quotient is 4 (the number on top of the bracket) and the remainder is 3 (the number at the bottom of the grid):
| | 4 | (quotient)
8 | 3 | 5 |
- | 3 | 2 |
| | 3 | (remainder) invisible comma
35 = 4×8 + 3
The quotient of 35/8 is 4 with remainder 3, so:
4 3/8
Replace the negative sign:
Answer: -4 3/8