Final answer:
Nikki spent 2/5 of her money on shoes and 1/4 on a headband. By converting both fractions to have the same denominator of 20 and adding them together, it was determined that Nikki has 7/20 of her birthday money left.
Step-by-step explanation:
The question is about determining the fraction of birthday money Nikki has left after spending some on new shoes and a headband. Nikki spent 2/5 of her birthday money on new shoes and 1/4 on a headband. To find the remaining fraction, we first need to determine what fraction of her money has been spent.
Adding the fractions 2/5 (for shoes) and 1/4 (for the headband), we convert them to have a common denominator, which in this case is 20. This makes the fractions 8/20 and 5/20 respectively. Now we can add them to determine the total spent: 8/20 + 5/20 = 13/20.
Since the total amount of money is represented as 1 (or 20/20), we subtract the spent fraction from the total to get the remaining fraction: 20/20 - 13/20 = 7/20. Therefore, Nikki has 7/20 of her birthday money left.