Answer :
To determine if 128 ounces is equal to 8 1/4 pounds, we need to convert the units to compare them accurately.
1. Understand the relationship between ounces and pounds:
- There are 16 ounces in 1 pound. This is a standard conversion you should always remember.
2. Convert 128 ounces to pounds:
- Since there are 16 ounces in a pound, you can convert ounces to pounds by dividing the number of ounces by 16.
- So, [tex]\( 128 \, \text{oz} \div 16 = 8 \, \text{lb} \)[/tex].
3. Express 8 1/4 pounds as a decimal:
- The mixed number 8 1/4 can be converted into a decimal.
- 8 is the whole number, and to convert the fraction 1/4 to a decimal, divide 1 by 4, which is 0.25.
- Therefore, 8 1/4 pounds is equal to [tex]\( 8.25 \, \text{lb} \)[/tex].
4. Compare the two values:
- After conversion, we have 128 ounces as 8 pounds and 8 1/4 pounds as 8.25 pounds.
- Therefore, 128 ounces (8 pounds) is less than 8 1/4 pounds (8.25 pounds).
So, 128 ounces is not equal to 8 1/4 pounds. The two weights are not the same.
1. Understand the relationship between ounces and pounds:
- There are 16 ounces in 1 pound. This is a standard conversion you should always remember.
2. Convert 128 ounces to pounds:
- Since there are 16 ounces in a pound, you can convert ounces to pounds by dividing the number of ounces by 16.
- So, [tex]\( 128 \, \text{oz} \div 16 = 8 \, \text{lb} \)[/tex].
3. Express 8 1/4 pounds as a decimal:
- The mixed number 8 1/4 can be converted into a decimal.
- 8 is the whole number, and to convert the fraction 1/4 to a decimal, divide 1 by 4, which is 0.25.
- Therefore, 8 1/4 pounds is equal to [tex]\( 8.25 \, \text{lb} \)[/tex].
4. Compare the two values:
- After conversion, we have 128 ounces as 8 pounds and 8 1/4 pounds as 8.25 pounds.
- Therefore, 128 ounces (8 pounds) is less than 8 1/4 pounds (8.25 pounds).
So, 128 ounces is not equal to 8 1/4 pounds. The two weights are not the same.
