To solve this expression, we need to follow the order of operations $PEMDAS/BODMAS$:

Calculate the absolute value of 0.8:
|0.8| = 0.8

Calculate the absolute value of -44.5:
|-44.5| = 44.5

Multiply 0.8 by 5/8:
5/8 • 0.8 = 5/8 • 4/5 = 4/8 = 0.5

Divide the absolute value of -44.5 by 0.3:
44.5 / 0.3 = 148.33

Add the results of step 3 and step 4 together:
0.5 + 148.33 = 148.83

Therefore, the final result is 148.83.