To solve these expressions, we will follow the order of operations (PEMDAS):

(5/6 - 2/3) ÷ 8/9

First, find the difference of the fractions in the parentheses:

(5/6 - 2/3) = (5/6 - 4/6) = 1/6

Then, divide the result by 8/9:

1/6 ÷ 8/9 = 1/6 * 9/8 = 9/48 = 3/16

3/10 ÷ (2/5 + 3/15)

First, find the sum in the parentheses:

(2/5 + 3/15) = (6/15 + 3/15) = 9/15 = 3/5

Then, divide 3/10 by 3/5:

3/10 ÷ 3/5 = 3/10 * 5/3 = 15/30 = 1/2

10 ÷ 2/5 - 3/10

First, divide 10 by 2/5:

10 ÷ 2/5 = 10 * 5/2 = 50/2 = 25

Then, subtract 3/10 from the result:

25 - 3/10 = 25 - 0.3 = 24.7

(1 1/2 - 3/8) ÷ 3

First, convert 1 1/2 to an improper fraction:

1 1/2 = 3/2

Now find the difference with 3/8:

3/2 - 3/8 = 12/8 - 3/8 = 9/8

Then divide by 3:

9/8 ÷ 3 = 9/8 * 1/3 = 9/24 = 3/8

Therefore, the solutions are:

(5/6 - 2/3) ÷ 8/9 = 3/163/10 ÷ (2/5 + 3/15) = 1/210 ÷ 2/5 - 3/10 = 24.7(1 1/2 - 3/8) ÷ 3 = 3/8