Final answer:
The fraction representing the number of pumpkins in the field is -45/48.
Step-by-step explanation:
To find the fraction that represents the number of pumpkins in the field, we need to subtract the fractions representing the number of squash and eggplant from 1.
Given that 5/3 of the vegetables were squash and 13 of the vegetables were eggplant, we can represent these fractions as 5/3 and 13/48 respectively.
So, the fraction representing the number of pumpkins would be 1 - 5/3 - 13/48 = 48/48 - 80/48 - 13/48 = (48 - 80 - 13)/48 = -45/48. However, a negative fraction does not make sense in this context. Therefore, there are no pumpkins in the field.