Final answer:
The missing number is one over two. The correct answer is c) One over two.
Step-by-step explanation:
To find the missing number that is greater than three over five but less than seven over eight, we can compare the fractions using a common denominator. The common denominator for three over five and seven over eight is forty. Now, we can convert both fractions to have a denominator of forty:
Three over five = 24 over 40
Seven over eight = 35 over 40
So, the missing number must be greater than 24 over 40 and less than 35 over 40. Looking at the given options, the only option that fits between these values is c) One over two. Therefore, the answer is c) One over two.