1) To solve this problem, we subtract 1/36 - 3/14 first:

1/36 - 3/14 = (114 - 336) / (36*14)
1/36 - 3/14 = (14 - 108) / 504
1/36 - 3/14 = -94 / 504
1/36 - 3/14 = -47 / 252

Next, we subtract -47/252 from -6/35:

-6/35 - 47/252 = (-6252 - 4735) / (35*252)
-6/35 - 47/252 = (-1512 - 1645) / 882
-6/35 - 47/252 = -3157 / 882
-6/35 - 47/252 = -451 / 126

Therefore, the final answer is -451/126.

2) To solve this problem, first combine like terms:

5/14 - 0.3 + 1/7 = 5/14 - 3/10 + 1/7 (convert 0.3 to a fraction)
5/14 - 3/10 + 1/7 = (25/70) - (42/70) + (10/70) (find a common denominator)
5/14 - 3/10 + 1/7 = (25 - 42 + 10) / 70
5/14 - 3/10 + 1/7 = -7/70

Therefore, the final answer is -7/70 or -1/10.