Answer :
To solve the division problem: 349 lb 6 oz ÷ 130, we'll follow these steps:
1. Convert Pounds to Ounces:
Since 1 pound is equal to 16 ounces, we first convert the total weight from pounds and ounces to just ounces.
[tex]\[
\text{Total ounces} = (349 \times 16) + 6
\][/tex]
Calculate the pounds to ounces conversion:
[tex]\[
349 \times 16 = 5584 \text{ ounces}
\][/tex]
Add the additional ounces:
[tex]\[
5584 + 6 = 5590 \text{ total ounces}
\][/tex]
2. Divide by the Divisor:
Divide the total ounces by 130:
[tex]\[
\text{Quotient in ounces} = \frac{5590}{130}
\][/tex]
Calculate the quotient:
[tex]\[
5590 \div 130 = 43 \text{ ounces} \, \text{(and some remainder)}
\][/tex]
Calculate the remainder in ounces:
[tex]\[
5590 \mod 130 = 100 \text{ ounces}
\][/tex]
3. Convert the Quotient back to Pounds and Ounces:
Now, convert the 43 ounces back to pounds and ounces.
Since 16 ounces is 1 pound:
[tex]\[
\text{Pounds} = 43 \div 16 = 2 \text{ pounds}
\][/tex]
[tex]\[
\text{Remaining ounces} = 43 \mod 16 = 11 \text{ ounces}
\][/tex]
Therefore, the result of dividing 349 pounds 6 ounces by 130 is 2 pounds 11 ounces. So, the correct answer is:
2 lb 11 oz
1. Convert Pounds to Ounces:
Since 1 pound is equal to 16 ounces, we first convert the total weight from pounds and ounces to just ounces.
[tex]\[
\text{Total ounces} = (349 \times 16) + 6
\][/tex]
Calculate the pounds to ounces conversion:
[tex]\[
349 \times 16 = 5584 \text{ ounces}
\][/tex]
Add the additional ounces:
[tex]\[
5584 + 6 = 5590 \text{ total ounces}
\][/tex]
2. Divide by the Divisor:
Divide the total ounces by 130:
[tex]\[
\text{Quotient in ounces} = \frac{5590}{130}
\][/tex]
Calculate the quotient:
[tex]\[
5590 \div 130 = 43 \text{ ounces} \, \text{(and some remainder)}
\][/tex]
Calculate the remainder in ounces:
[tex]\[
5590 \mod 130 = 100 \text{ ounces}
\][/tex]
3. Convert the Quotient back to Pounds and Ounces:
Now, convert the 43 ounces back to pounds and ounces.
Since 16 ounces is 1 pound:
[tex]\[
\text{Pounds} = 43 \div 16 = 2 \text{ pounds}
\][/tex]
[tex]\[
\text{Remaining ounces} = 43 \mod 16 = 11 \text{ ounces}
\][/tex]
Therefore, the result of dividing 349 pounds 6 ounces by 130 is 2 pounds 11 ounces. So, the correct answer is:
2 lb 11 oz
