To subtract mixed numbers, first convert each mixed number to an improper fraction:
2 8/15 = (2 x 15 + 8) / 15 = 38 / 15
1 5/18 = (1 x 18 + 5) / 18 = 23 / 18
3 1/5 = (3 x 5 + 1) / 5 = 16 / 5
Now subtract the fractions:
38/15 - 23/18 - 16/5
To subtract fractions, we need a common denominator. The least common multiple of 15, 18, and 5 is 90:
38/15 = 228/90 23/18 = 115/90 16/5 = 288/90
Now subtract the fractions:
228/90 - 115/90 - 288/90 = (228 - 115 - 288) / 90 = -175 / 90 = -35/18
Therefore, the result of the expression (2 8/15 - 1 5/18 - 3 1/5) is -35/18 or -1 17/18.
