Final answer:
Samantha spent a total of 11/12 of her money by adding the fractions 1/6 (for candy) and 3/4 (for a movie ticket) with a common denominator, which results in 2/12 and 9/12 respectively. After adding these, they sum up to 11/12.
Step-by-step explanation:
To find out what fraction of Samantha's money has been spent on candy and a movie ticket, we need to add the fractions together. Samantha spent 1/6 of her money on candy and 3/4 of her money on a movie ticket. To add these fractions, they must have the same denominator.
We look for the least common multiple (LCM) of the denominators 6 and 4, which is 12. Now we convert 1/6 into 2/12 and 3/4 into 9/12. We do this by multiplying the numerator and denominator of 1/6 by 2 and for 3/4 by 3, so we will keep the value of fractions identical while having a common denominator. Next, we add the two new fractions:
2/12 (candy) + 9/12 (movie) = 11/12 (total spent)
Therefore, Samantha has spent a total of 11/12 of her money. This means that only 1/12 of her money is left.