Macy wants to buy gifts for her mom and brother she decides to spend one half of the money she has on her alone and one third of the money she has on her brother what fractional portion of her money does she have left after purchasing the two gifts

Let's say Macy has M dollars.

Macy spends 1/2 * M on her mom, which leaves her with 1/2 * M dollars.
Macy spends 1/3 * M on her brother, which leaves her with 1/2 * M - 1/3 * M = (3/6 - 2/6) * M = 1/6 * M dollars.
Therefore, she has 1/6 of her money left.