To convert 125 pounds (lb) to kilograms (kg), we need to go through a series of unit conversions: pounds to ounces (oz), ounces to grams (g), and finally grams to kilograms. Let's follow these steps:
1. Convert pounds to ounces:
- 1 pound (lb) is equal to 16 ounces (oz).
- Therefore, to convert 125 pounds to ounces, we multiply:
[tex]\[
125 \, \text{lb} \times \frac{16 \, \text{oz}}{1 \, \text{lb}}
\][/tex]
2. Convert ounces to grams:
- 1 ounce (oz) is equal to 28 grams (g).
- So, to convert the value obtained in ounces to grams, we multiply:
[tex]\[
(125 \, \text{lb} \times 16 \, \text{oz/lb}) \times \frac{28 \, \text{g}}{1 \, \text{oz}}
\][/tex]
3. Convert grams to kilograms:
- 1 kilogram (kg) is equal to 1000 grams (g).
- To convert grams to kilograms, we divide by 1000:
[tex]\[
\left(125 \, \text{lb} \times 16 \, \text{oz/lb} \times 28 \, \text{g/oz}\right) \times \frac{1 \, \text{kg}}{1000 \, \text{g}}
\][/tex]
Combining these steps, the entire conversion process can be written as:
[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]
Therefore, the correct conversion formula is:
[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]
Thus, the correct option corresponding to this formula is:
[tex]\[
\boxed{B}
\][/tex]
