To solve this problem, we will first convert the mixed numbers to improper fractions:
-2 1/3 = -7/-1 7/9 = -16/-2 1/6 = -13/0.9 = 9/13 1/5 = 16/5
Now we can add the fractions:
-7/3 + (-16/9) - 13/6 + (-9/10) + 16/5
To add fractions, we need to find a common denominator. The least common denominator for 3, 6, 10, and 5 is 30.
-7/3 = -70/3-16/9 = -160/9-13/6 = -65/3-9/10 = -27/316/5 = 96/30
-70/30 + (-160/90) - 65/30 + (-27/30) + 96/3-70/30 - 160/90 - 65/30 - 27/30 + 96/3-70/30 - 160/90 - 65/30 - 27/30 + 96/30 = -226/3-226/30 = -113/15
Therefore, the final answer is -113/15 or -7 8/15.
To solve this problem, we will first convert the mixed numbers to improper fractions:
-2 1/3 = -7/
-1 7/9 = -16/
-2 1/6 = -13/
0.9 = 9/1
3 1/5 = 16/5
Now we can add the fractions:
-7/3 + (-16/9) - 13/6 + (-9/10) + 16/5
To add fractions, we need to find a common denominator. The least common denominator for 3, 6, 10, and 5 is 30.
-7/3 = -70/3
-16/9 = -160/9
-13/6 = -65/3
-9/10 = -27/3
16/5 = 96/30
Now we can add the fractions:
-70/30 + (-160/90) - 65/30 + (-27/30) + 96/3
-70/30 - 160/90 - 65/30 - 27/30 + 96/3
-70/30 - 160/90 - 65/30 - 27/30 + 96/30 = -226/3
-226/30 = -113/15
Therefore, the final answer is -113/15 or -7 8/15.