To simplify the expression (2 8/15 - 1 5/18 - 3 1/5), we first need to convert all the mixed numbers to 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 we can rewrite the expression as: 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.
Rewriting the fractions with a common denominator: (38 * 6)/(15 * 6) - (23 * 5)/(18 * 5) - (16 * 18)/(5 * 18) = 228/90 - 115/90 - 288/90 = (228 - 115 - 288) / 90 = -175 / 90
Therefore, the simplified expression is -175/90.
