Solve the following division problem: $349 lb 6 oz \div 130$
Select one of four:
A. 4 lb 3 oz
B. 6 lb 7 oz
C. 3 lb 9 oz
D. 2 lb 11 oz
Answer (2)
Convert the weight to ounces: 349 lb 6 oz = 5590 oz .
Divide the total ounces by 130: 130 5590 = 43 oz .
Convert the result back to pounds and ounces: 43 oz = 2 lb 11 oz .
The final answer is: 2 lb 11 oz .
Explanation
Understanding the Problem We are given the division problem 349 lb 6 oz ÷ 130 . Our goal is to find the quotient and express it in pounds and ounces.
Converting to Ounces First, we convert the weight 349 lb 6 oz into ounces. Since 1 lb = 16 oz , we have 349 lb = 349 × 16 oz = 5584 oz . Therefore, 349 lb 6 oz = 5584 oz + 6 oz = 5590 oz .
Dividing by 130 Now, we divide the total number of ounces by 130: 130 5590 = 43 . This means that 349 lb 6 oz ÷ 130 = 43 oz .
Converting Back to Pounds and Ounces Next, we convert the result back into pounds and ounces. Since 1 lb = 16 oz , we divide 43 by 16 to find the number of pounds and the remaining ounces. 43 ÷ 16 = 2 with a remainder of 11 . This means that 43 oz = 2 lb 11 oz .
Final Answer Therefore, 349 lb 6 oz ÷ 130 = 2 lb 11 oz .
Examples
Understanding division of weights is crucial in various real-life scenarios, such as distributing food supplies evenly among a group of people or dividing materials in construction projects. For instance, if a construction team needs to divide 349 lb 6 oz of cement equally into 130 bags, this calculation ensures each bag contains approximately 2 lb 11 oz of cement, maintaining consistency and structural integrity in their work.
To solve the division of 349 lb 6 oz by 130, we first convert the weight into ounces, resulting in 5590 oz. Dividing this by 130 gives us approximately 43 oz, which converts back to 2 lb 11 oz. Therefore, the final answer is 2 lb 11 oz.
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