To convert [tex]\(2 \frac{7}{8}\)[/tex] pounds into ounces, we can follow these steps:
1. Convert the mixed number to an improper fraction:
- A mixed number [tex]\(2 \frac{7}{8}\)[/tex] can be converted into an improper fraction by multiplying the whole number part (2) by the denominator (8), then adding the numerator (7).
- [tex]\(2 \times 8 + 7 = 16 + 7 = 23\)[/tex]
- So, [tex]\(2 \frac{7}{8}\)[/tex] as an improper fraction is [tex]\(\frac{23}{8}\)[/tex].
2. Convert pounds to ounces:
- We know that 1 pound is equivalent to 16 ounces.
- Thus, [tex]\(\frac{23}{8}\)[/tex] pounds can be converted to ounces by multiplying by 16.
- [tex]\[\frac{23}{8} \times 16\][/tex]
3. Perform the multiplication:
- [tex]\(\frac{23 \times 16}{8} = \frac{368}{8}\)[/tex]
4. Simplify the fraction:
- Dividing 368 by 8 gives us 46.
- So, [tex]\(\frac{368}{8} = 46\)[/tex].
5. Express the result:
- The answer in ounces is 46.
Thus, [tex]\(2 \frac{7}{8}\)[/tex] pounds is equivalent to 46 ounces, which is already in its simplest form as a whole number.
