To convert 8 pounds and 4 ounces to kilograms, follow these steps:
1. Understand the initial weights:
- Pounds: [tex]\(8 \, \text{lb}\)[/tex]
- Ounces: [tex]\(4 \, \text{oz}\)[/tex]
2. Convert pounds to ounces:
- Since there are 16 ounces in a pound, convert the pounds part to ounces:
[tex]\[
8 \, \text{lb} \times 16 \, \frac{\text{oz}}{\text{lb}} = 128 \, \text{oz}
\][/tex]
3. Add the ounces:
- Total ounces is the sum of the converted pounds and the original ounces:
[tex]\[
128 \, \text{oz} + 4 \, \text{oz} = 132 \, \text{oz}
\][/tex]
4. Convert ounces to kilograms:
- Use the conversion factor [tex]\(1 \, \text{oz} = 0.0283495 \, \text{kg}\)[/tex]:
[tex]\[
132 \, \text{oz} \times 0.0283495 \, \frac{\text{kg}}{\text{oz}} \approx 3.742134 \, \text{kg}
\][/tex]
Therefore, [tex]\(8 \, \text{lb} \, 4 \, \text{oz} = 3.742134 \, \text{kg}\)[/tex].
