Final answer:
To find out how many (4)/(5) gram doses are in 4 vials of 15 grams each, you multiply the total grams by the reciprocal of the dose size, resulting in 75 doses.
Step-by-step explanation:
The question asks us to calculate the number of (4)/(5) gram doses available from the total medication on hand at the pharmacy. If there are 4 vials of medication and each vial contains 15 grams, then the total medication available is 4 vials × 15 grams/vial = 60 grams. To find out how many (4)/(5) gram doses are available from this total, we divide 60 grams by (4)/(5) grams/dose, which is equivalent to multiplying 60 grams by the reciprocal of (4)/(5) (which is (5)/(4)). Therefore, the calculation is 60 grams × (5)/(4) grams/dose = 75 doses.