Let's solve each of these calculations step by step:

5 - 3/8
= 40/8 - 3/8
= 37/8

5 - 2 5/9
= 45/9 - 29/9
= 16/9

2/35 * 21/44
= 42/1540
= 21/770

9 3/7 1 1/11
= (63/7) (12/11)
= 756/77
= 108/11

1 1/15 5/16
= (15/15 + 1/15) 5/16
= 16/15 * 5/16
= 80/240
= 1/3

7/11 2 5/14
= 7/11 (28/14 + 5/14)
= 7/11 * 33/14
= 231/154
= 33/22

1 2/23 2.07
= (23/23 + 2/23) 2.07
= 25/23 * 2.07
= 51.75/23
= 2.25

2 5/8 0.5 5/7 3.2
= (16/8 + 5/8) 0.5 5/7 3.2
= 21/8 0.5 5/7 3.2
= 42/56 0.5 3.2
= 0.75 0.5 * 3.2
= 1.2

4 3/13 13/44
= (52/13 + 3/13) 13/44
= 55/13 * 13/44
= 715/572
= 55/44

Therefore, the results are:

5 - 3/8 = 37/85 - 2 5/9 = 16/92/35 * 21/44 = 21/7709 3/7 * 1 1/11 = 108/111 1/15 * 5/16 = 1/37/11 * 2 5/14 = 33/221 2/23 * 2.07 = 2.252 5/8 0.5 5/7 * 3.2 = 1.24 3/13 * 13/44 = 55/44