Final answer:
The greatest value among the options a) 3 23/15, b) 15/20, c) 24/15, d) 15 is option d) 15. After simplifying and converting the given fractions where needed, the whole number 15 stands out as the highest value.
Step-by-step explanation:
The student asked which fraction is the greatest among the options: a) 3 23/15, b) 15/20, c) 24/15, d) 15. To compare these fractions and whole numbers effectively, we convert improper fractions to mixed numbers where applicable, and simplify the fractions to their lowest terms when possible.
Option a) is already a mixed number. Option b) simplifies to 3/4 when reduced. Option c) can be converted to a mixed number resulting in 1 9/15, which simplifies further to 1 3/5. Option d) is already a whole number, 15.
After simplifying and converting the given numbers, we compare them to determine the largest. The whole number 15 is greater than any of the mixed or proper fractions listed, making it the largest value among the options.