Answer:
⅙a - 8
Step-by-step explanation:
(⅓a - 5) - (⅙a + 3)
Distributive property: = ⅓a - 5 - ⅙a - 3
Associative property: = (⅓a - ⅙a) - 5 - 3
Simplification: = (⅓a - ⅙a) - 8
Distributive property: = a(⅓ - ⅙) - 8
LCM of denominators: = a(²/₆ - ⅙) - 8
Subtract numerators: = a(⅙) -8
Commutative property: = ⅙a - 8
