To solve this expression, we need to find a common denominator for all the fractions involved. The least common multiple (LCM) of the denominators 4, 6, 7, 8, 9, 10, and 11 is 2,520.

Now, let's convert each fraction to have a denominator of 2,520:

3/4 = (3 * 630) / (4 * 630) = 1890/2520
5/6 = (5 * 420) / (6 * 420) = 2100/2520
6/7 = (6 * 360) / (7 * 360) = 2160/2520
7/8 = (7 * 315) / (8 * 315) = 2205/2520
8/9 = (8 * 280) / (9 * 280) = 2240/2520
9/10 = (9 * 252) / (10 * 252) = 2268/2520
10/11 = (10 * 230) / (11 * 230) = 2300/2520

Now, let's substitute these values back into the expression:

1890/2520 - 2100/2520 + 2160/2520 - 2205/2520 + 2240/2520 - 2268/2520 + 2300/2520 + 2240/2520 - 2205/2520 + 2160/2520 - 2100/2520 + 1890/2520

Combining like terms:

(1890 - 2100 + 2160 - 2205 + 2240 - 2268 + 2300 + 2240 - 2205 + 2160 - 2100 + 1890) / 2520

Simplifying the numerator:

(2520) / 2520

The numerator and denominator are equal, so the expression simplifies to:

1