To solve this expression step by step:

Convert 17/2 to an improper fraction: 17/2 = 8 1/2 or 17/2 = (2*8+1)/2 = 17/2

Perform the addition operation: 8 1/2 + 2
8 1/2 = 8.5
8.5 + 2 = 10.5

Calculate the subtraction within the brackets:
11/36 - 13/60
To perform subtraction, we need to find a common denominator for 36 and 60, which is 180
11/36 = (115)/(365) = 55/180
13/60 = (133)/(603) = 39/180

Now, subtract 55/180 - 39/180
55/180 - 39/180 = 16/180 = 4/45

Finally, multiply 2 1/7 by 4/45:
2 1/7 = 15/7
15/7 4/45 = (154) / (7*45) = 60 / 315 = 4/21

Adding this result back to the previous result:
10.5 + 4/21 = 10.5 + 0.19047 = 10.69047

Therefore, the solution is 10.69047.