Let's solve each of these separately.

( \frac{12}{19} \times \frac{38}{45} )
To multiply fractions, multiply the numerators together and the denominators together:
( \frac{12}{19} \times \frac{38}{45} = \frac{12 \times 38}{19 \times 45} )
( = \frac{456}{855} )
Simplifying the fraction, we get:
( = \frac{304}{573} )

( -\frac{15}{22} \times -\frac{5}{11} )
When multiplying two negative fractions, the result will be positive:
( -\frac{15}{22} \times -\frac{5}{11} = \frac{15}{22} \times \frac{5}{11} )
( = \frac{15 \times 5}{22 \times 11} )
( = \frac{75}{242} )

Therefore, the final result is ( \frac{304}{573} + \frac{75}{242} ).