Macey wants to buy gifts for her mom and brother. She decides to spend 1/2 of the money she has on her mom and 1/3 of the money she has on her brother. What fractional portion of her money does she have left after purchasing the two gifts?
Macey has spent a total of 1/2 + 1/3 = 3/6 + 2/6 = <<1/2+1/3=5/6>>5/6 of her money on gifts.
She has 1 - 5/6 = <<1-5/6=1/6>>1/6 of her money left. Answer: \boxed{\frac{1}{6}}.