To solve this expression, we first need to simplify the terms within the parentheses before multiplying everything together.

1/6 - 5/9 = (3/18) - (10/18) = -7/18

1/2 - 3/7 = (7/14) - (6/14) = 1/14

Now, we multiply these simplified terms:

(-7/18) • (1/14) • 7 1/5

To multiply these fractions, we first convert the mixed number 7 1/5 into an improper fraction:

7 1/5 = (5*7 + 1)/5 = 36/5

Now, multiply the fractions:

(-7/18) • (1/14) • (36/5) = -7/252 * 36/5 = -252/2520 = -1/10

Therefore, the result of the expression (1/6-5/9) • (1/2-3/7) • 7 1/5 is -1/10.