Answer:
The arithmetic mean of 1/3 and -2/5 is -1/30.
Explanation:
To find the arithmetic mean of fractions, we add them together and then divide the sum by the number of fractions. Let's calculate the arithmetic mean of 1/3 and -2/5:
To add 1/3 and -2/5, we need to find a common denominator. The least common multiple of 3 and 5 is 15. So, we can rewrite the fractions with a common denominator:
1/3 = 5/15
-2/5 = -6/15
Now, we can add the fractions:
5/15 + (-6/15) = -1/15
Finally, to find the arithmetic mean, we divide the sum by the number of fractions, which is 2:
(-1/15) / 2 = -1/30
Therefore, the arithmetic mean of 1/3 and -2/5 is -1/30.