Answer:
(-17)/20
Step-by-step explanation:
Simplify the following:
-7/10 + 2/8 + 1/10 - 4/8
The gcd of 2 and 8 is 2, so 2/8 = (2×1)/(2×4) = 2/2×1/4 = 1/4:
-7/10 + 1/4 + 1/10 - 4/8
The gcd of -4 and 8 is 4, so (-4)/8 = (4 (-1))/(4×2) = 4/4×(-1)/2 = (-1)/2:
-7/10 + 1/4 + 1/10 + -1/2
Put -7/10 + 1/4 + 1/10 - 1/2 over the common denominator 20. -7/10 + 1/4 + 1/10 - 1/2 = (2 (-7))/20 + 5/20 + 2/20 - 10/20:
(2 (-7))/20 + 5/20 + 2/20 - 10/20
2 (-7) = -14:
(-14)/20 + 5/20 + 2/20 - 10/20
-14/20 + 5/20 + 2/20 - 10/20 = (-14 + 5 + 2 - 10)/20:
(-14 + 5 + 2 - 10)/20
-14 + 5 + 2 - 10 = (5 + 2) - (14 + 10):
((5 + 2) - (14 + 10))/20
5 + 2 = 7:
(7 - (14 + 10))/20
| 1 | 4
+ | 1 | 0
| 2 | 4:
(7 - 24)/20
7 - 24 = -(24 - 7):
(-(24 - 7))/20
| 1 | 14
| 2 | 4
- | | 7
| 1 | 7:
Answer: (-17)/20
