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Solve the following division problem:

349 lb 6 oz ÷ 130

Select one of the following options:

A. 6 lb 7 oz
B. 2 lb 11 oz
C. 3 lb 9 oz
D. 4 lb 3 oz

Answer :

We start with the weight of
[tex]$$349 \text{ lb } 6 \text{ oz}$$[/tex]
and we need to divide this weight by 130. Follow these steps:

1. Convert the entire weight into ounces.

Since there are 16 ounces in a pound, convert the pounds to ounces and add the remaining ounces:
[tex]$$
\text{Total ounces} = 349 \times 16 + 6 = 5584 + 6 = 5590 \text{ oz}.
$$[/tex]

2. Divide the total ounces by 130.

Divide the total number of ounces by 130:
[tex]$$
\frac{5590}{130} = 43 \text{ oz}.
$$[/tex]

3. Convert the quotient back into pounds and ounces.

To convert 43 ounces into pounds, divide by 16:
[tex]$$
\text{Pounds} = \left\lfloor \frac{43}{16} \right\rfloor = 2 \text{ lb}.
$$[/tex]
The remaining ounces are found by:
[tex]$$
\text{Remaining ounces} = 43 \mod 16 = 43 - (2 \times 16) = 43 - 32 = 11 \text{ oz}.
$$[/tex]

Thus, the final answer is:
[tex]$$
2 \text{ lb } 11 \text{ oz}.
$$[/tex]

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