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Calculate the arithmetic mean of 1/3 and -2/5

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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.

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