To add or subtract fractions, we need to make sure they all have the same denominator.

1/4 + 3/5 = 5/20 + 12/20 = 17/20
9/11 - 2/5 = 45/55 - 22/55 = 23/55
13/16 - 9/32 = 26/32 - 9/32 = 17/32
3/28 + 5/14 = 6/56 + 20/56 = 26/56 = 13/28
14/15 - 7/10 = 28/30 - 21/30 = 7/30
3/8 + 1/6 = 9/24 + 4/24 = 13/24

Now putting it all together:

17/20 + 23/55 + 17/32 + 13/28 + 7/30 + 13/24

To add these fractions together, we first need to find a common denominator. The least common multiple of 20, 55, 32, 28, 30, and 24 is 1680.

Multiplying each fraction by the necessary factor to get a denominator of 1680:

(17/20) (84/84) = 1428/1680
(23/55) (30.545454545454545454545) = 1680/1680
(17/32) (52.5) = 892.5/1680
(13/28) (60.0) = 780/1680
(7/30) (56.571428571428571428571) = 858/1680
(13/24) (70.0) = 910/1680

Adding all these fractions together:

1427.5/1680 + 1680.0/1680 + 892.5/1680 + 780/1680 + 858/1680 + 910/1680 = 6558/1680

Therefore, the final answer is 6558/1680, which can be reduced to 839/215.