To solve this problem, we first need to simplify the fractions within the parentheses:

4/15 + 7 1/10
= 4/15 + 7 + 1/10
= 4/15 + 70/10 + 1/10
= 4/15 + 71/10
= (42)/(152) + 71/10
= 8/30 + 71/10
= 8/30 + 213/30
= 221/30

Now we can subtract this sum from 10:

10 - 221/30
= 300/30 - 221/30
= 79/30

So, 10 - (4/15 + 7 1/10) = 2 13/30.