(1/4)(q - 12) + (1/3)(q + 9)
Use the distributive property:
(1/4)q - (1/4)(12) + (1/3)(q) + (1/3)(9)
(1/4)q - 3 + (1/3)q + 3
(1/4)q + (1/3)q
Now, add 1/4 and 1/3:
common denominator is 12: 1/4 = 3/12 and 1/3 = 4/12 so: 1/4 + 1/3 = 3/12 + 4/12 = 7/12
= (7/12)q