Final answer:
Macey has 1/6 of her money left after she spends 1/2 on her mom and 1/3 on her brother.
Step-by-step explanation:
To determine what fractional portion of her money Macey has left after purchasing gifts for her mom and brother, we need to add the fractions of the money spent and then subtract that amount from the whole. Macey spends 1/2 of her money on her mom and 1/3 on her brother.
To calculate the total spent, we add the two fractions:
1/2 + 1/3 = (3/6) + (2/6)
= 5/6
This means Macey spent 5/6 of her total money on gifts. To find out how much she has left, we subtract the fraction spent from 1, representing the total amount:
1 - 5/6 = 1/6
Therefore, Macey has 1/6 of her money left after purchasing the two gifts.