To convert 125 pounds (lb) to kilograms (kg), you can follow a step-by-step conversion process. Here's a detailed breakdown of the conversion process:
1. Convert Pounds to Ounces (oz):
- There are 16 ounces in 1 pound.
- Therefore, you multiply the number of pounds by 16 to get the weight in ounces.
- [tex]\( 125 \, \text{lb} \times 16 \, \text{oz/lb} = 2000 \, \text{oz} \)[/tex]
2. Convert Ounces to Grams (g):
- There are 28 grams in 1 ounce.
- Therefore, you multiply the number of ounces by 28 to get the weight in grams.
- [tex]\( 2000 \, \text{oz} \times 28 \, \text{g/oz} = 56000 \, \text{g} \)[/tex]
3. Convert Grams to Kilograms (kg):
- There are 1000 grams in 1 kilogram.
- Therefore, you divide the number of grams by 1000 to get the weight in kilograms.
- [tex]\( 56000 \, \text{g} \div 1000 = 56 \, \text{kg} \)[/tex]
From the detailed steps above, it is clear the correct answer involves converting pounds to ounces, ounces to grams, and then grams to kilograms. Given the choices, the correct step-by-step conversion process aligns with:
B. [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]
This option correctly follows all the necessary conversion steps. Therefore, the correct answer is:
B. [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]
