To solve this expression, we need to follow the order of operations (PEMDAS).

First, we need to simplify the multiplication:

-5/7 × 2/11 = -10/77
-5/7 × 9/11 = -45/77

Now, we can substitute these values back into the expression:

-10/77 + -45/77 + 1 5/7

Next, we need to add the fractions:

-10/77 + -45/77 = -55/77

Now, we can add the whole number:

-55/77 + 1 5/7

To add the whole number, we need to convert it to a fraction with the same denominator as the other fractions:

1 5/7 = 7/7 + 5/7 = 12/7

Now, we can add the fractions:

-55/77 + 12/7

To add these fractions, we need to find a common denominator, which is 77:

-55/77 + 12/7 = -55/77 + 924/77 = 869/77

Therefore, the final answer is 869/77.