To solve the problem of converting 5.5 pounds to ounces, we need to choose the correct ratio based on the given information that there are 16 ounces in 1 pound. Here’s a detailed step-by-step explanation:
1. Understanding the Units and Conversion:
- We are given a mass in pounds (5.5 pounds) and we need to convert that to ounces.
- We know that 1 pound is equivalent to 16 ounces.
2. Setting Up the Conversion Ratio:
- To convert pounds to ounces, our ratio should have ounces in the numerator (top part) and pounds in the denominator (bottom part) since this format will allow the pounds unit to cancel out.
- This way, multiplying the given quantity in pounds by our conversion ratio will give us ounces.
3. Identifying the Correct Ratio:
- Consider the given options:
- Option A: [tex]\(\frac{1 \text { pound }}{16 \text { ounces }}\)[/tex]
- Option B: [tex]\(\frac{1 \text { ounce }}{88 \text { pounds }}\)[/tex]
- Option C: [tex]\(\frac{88 \text { ounces }}{1 \text { pound }}\)[/tex]
- Option D: [tex]\(\frac{16 \text { ounces }}{1 \text { pound }}\)[/tex]
- The correct ratio should reflect the relationship "16 ounces per 1 pound" and should be set up to convert pounds to ounces effectively.
4. Selecting the Correct Answer:
- Option A: This ratio is the reciprocal of what we need (used for converting ounces to pounds).
- Option B: This is not a relevant ratio for our given conversion (involves unrelated numbers).
- Option C: This ratio (88 ounces per pound) is incorrect based on the given data.
- Option D: This ratio correctly reflects the conversion "16 ounces per 1 pound."
5. Conclusion:
- To convert from pounds to ounces, the correct ratio to use is [tex]\(\frac{16 \text { ounces }}{1 \text { pound }}\)[/tex].
Hence, the correct answer is:
[tex]\[ \boxed{\frac{16 \text { ounces }}{1 \text { pound }}} \][/tex]
So, the ratio you should use to convert 5.5 pounds to ounces is [tex]\(\frac{16 \text { ounces }}{1 \text { pound }}\)[/tex], which corresponds to Option D.
