To convert 125 pounds (lb) to kilograms (kg), follow these step-by-step conversions:
1. Convert pounds to ounces:
[tex]\[
1 \text{ lb} = 16 \text{ oz}
\][/tex]
Therefore,
[tex]\[
125 \text{ lb} \times 16 \text{ oz/lb} = 2000 \text{ oz}
\][/tex]
2. Convert ounces to grams:
[tex]\[
1 \text{ oz} = 28 \text{ g}
\][/tex]
So,
[tex]\[
2000 \text{ oz} \times 28 \text{ g/oz} = 56000 \text{ g}
\][/tex]
3. Convert grams to kilograms:
[tex]\[
1000 \text{ g} = 1 \text{ kg}
\][/tex]
Therefore,
[tex]\[
56000 \text{ g} \div 1000 \text{ g/kg} = 56.0 \text{ kg}
\][/tex]
So, to summarize:
[tex]\[
125 \text{ lb} \times 16 \text{ oz/lb} \times 28 \text{ g/oz} \times \frac{1 \text{ kg}}{1000 \text{ g}} = 56.0 \text{ kg}
\][/tex]
Given these calculations, the correct answer is:
D. [tex]\(125 \text{ lb} \times \frac{16 \text{ oz}}{1 \text{ lb}} \times \frac{28 \text{ g}}{1 \text{ oz}} \times \frac{1 \text{ kg}}{1000 \text{ g}}\)[/tex]
