(2 8/15-1 5/18-3 1/5)

To perform the given subtraction, first convert all the mixed numbers into improper fractions:

2 8/15 = (2 * 15 + 8) / 15 = 38 / 15 1 5/18 = (1 * 18 + 5) / 18 = 23 / 18 3 1/5 = (3 * 5 + 1) / 5 = 16 / 5

Now, subtract these fractions:

38 / 15 - 23 / 18 - 16 / 5

To subtract these fractions, you need to find a common denominator. The common denominator for 15, 18, and 5 is 90.

(38 * 6) / (15 * 6) - (23 * 5) / (18 * 5) - (16 * 18) / (5 * 18) = 228 / 90 - 115 / 90 - 288 / 90 = (228 - 115 - 288) / 90 = -175 / 90

Now we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 5:

-175 / 90 = -35 / 18

Therefore, the result of the given expression (2 8/15 - 1 5/18 - 3 1/5) is -35 / 18.