To convert your sister's weight from kilograms to pounds and ounces, let's proceed step-by-step:
1. Convert kilograms to pounds:
- The given weight is [tex]\(20.45\)[/tex] kg.
- According to the conversion ratio, [tex]\(1\)[/tex] kg is equivalent to [tex]\(2.2\)[/tex] pounds.
- Therefore, we multiply [tex]\(20.45\)[/tex] kg by [tex]\(2.2\)[/tex] to get the weight in pounds.
[tex]\[
20.45 \times 2.2 = 44.99 \text{ pounds}
\][/tex]
2. Separate the weight into whole pounds and the fractional part:
- The whole number part of [tex]\(44.99\)[/tex] pounds is [tex]\(44\)[/tex] pounds.
- To get the remaining fractional part in pounds, we subtract the whole pounds from the total pounds.
[tex]\[
44.99 - 44 = 0.99 \text{ pounds}
\][/tex]
3. Convert the remaining pounds to ounces:
- According to the conversion ratio, [tex]\(1\)[/tex] pound is equivalent to [tex]\(16\)[/tex] ounces.
- Therefore, we multiply the fractional pounds [tex]\(0.99\)[/tex] by [tex]\(16\)[/tex] to get the weight in ounces.
[tex]\[
0.99 \times 16 = 15.84 \text{ ounces}
\][/tex]
4. Round the ounces to the nearest whole number:
- Rounding [tex]\(15.84\)[/tex] ounces to the nearest whole number, we get [tex]\(16\)[/tex] ounces.
Hence, the weight in pounds and ounces is:
[tex]\[
44 \text{ pounds and } 16 \text{ ounces}
\][/tex]
The correct answer is B: [tex]\(44 \text{ lb } 16 \text{ oz}\)[/tex]
