1 oz = 16 lb
What is 24 ounces converted to pounds?
Write your answer as a fraction in simplest form. 1)
24 ounces is equal to
pounds.
The Correct Answer and Explanation is :
To solve this problem, we need to convert 24 ounces into pounds using the conversion factor provided.
The given conversion factor states that 1 ounce (oz) is equal to 1/16 of a pound (lb). This means:
[
1 \text{ oz} = \frac{1}{16} \text{ lb}
]
Step-by-Step Conversion:
- Given Value: We are asked to convert 24 ounces to pounds.
- Conversion Factor: The problem states that 1 ounce = 1/16 pounds.
- Multiplication: To convert ounces to pounds, multiply the given ounces by the conversion factor:
[
24 \text{ oz} \times \frac{1 \text{ lb}}{16 \text{ oz}} = \frac{24}{16} \text{ lb}
]
Simplifying the Fraction:
The fraction (\frac{24}{16}) can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 8.
[
\frac{24}{16} = \frac{24 \div 8}{16 \div 8} = \frac{3}{2}
]
Thus, 24 ounces is equal to ( \frac{3}{2} ) pounds.
Final Answer:
[
24 \text{ ounces} = \frac{3}{2} \text{ pounds}
]
Explanation:
The conversion from ounces to pounds relies on understanding that 1 ounce is a smaller unit compared to pounds. Since 16 ounces make up 1 pound, each ounce is equivalent to 1/16 of a pound. When converting, we multiply the number of ounces by this fraction (1/16) to determine how many pounds they represent.
After multiplying, the result is simplified to its lowest terms, ensuring the fraction is in its simplest form. In this case, ( \frac{3}{2} ) means “three halves” of a pound, which is equivalent to 1.5 pounds if expressed as a decimal.
Understanding this conversion method is essential for many practical applications, especially in fields like cooking, chemistry, or engineering, where precise weight measurements are crucial.