To simplify the expression, we need to first find a common denominator for each fraction.

For 5/34 - 7/51:

To find a common denominator, we can multiply the denominators together: 34 * 51 = 1734

Now, we rewrite the fractions with the common denominator:

(5 51)/(34 51) - (7 34)/(34 51)
= 255/1734 - 238/1734

Now we can subtract the fractions:

255/1734 - 238/1734 = 17/1734

For (11/20 - 0.75) + 1/16:

First, convert 0.75 to a fraction: 0.75 = 75/100 = 3/4

Now rewrite the expression:

(11/20 - 3/4) + 1/16

To find a common denominator, let's multiply 20, 4, and 16 together: 20 4 16 = 1280

Now, rewrite the fractions with the common denominator:

(11 64)/(20 64) - (3 320)/(4 320) + (1 80)/(16 80)
= 704/1280 - 960/1280 + 80/1280

Now we can add the fractions:

704/1280 - 960/1280 + 80/1280 = -176/1280 + 80/1280
= -96/1280
= -3/40

Therefore, the simplified expression for (5/34 - 7/51) + (11/20 - 0.75) + 1/16 is:

17/1734 - 3/40