To determine how many [tex]\(\frac{1}{2}\)[/tex] gram doses are available from a 5-gram vial of medication, we can follow these steps:
1. Understand the problem:
- We have a vial that contains a total of 5 grams of medication.
- Each dose of medication is [tex]\(\frac{1}{2}\)[/tex] gram.
2. Identify the mathematical operation needed:
- To find out how many [tex]\(\frac{1}{2}\)[/tex] gram doses are in 5 grams, we need to divide the total grams by the size of each dose.
3. Set up the division:
- The total amount of medication is 5 grams.
- The size of one dose is [tex]\(\frac{1}{2}\)[/tex] gram.
4. Perform the division:
- Divide the total grams by the size of each dose:
[tex]\[
\frac{5\ \text{grams}}{\frac{1}{2}\ \text{gram per dose}}
\][/tex]
Dividing by a fraction is the same as multiplying by its reciprocal:
[tex]\[
5 \div \frac{1}{2} = 5 \times 2 = 10
\][/tex]
5. Conclusion:
- The number of [tex]\(\frac{1}{2}\)[/tex] gram doses available from the 5-gram vial is 10.
Thus, there are 10 doses of [tex]\(\frac{1}{2}\)[/tex] gram each available from the 5-gram vial of medication.
