Convert 28 pounds to kilograms using unit fractions. Round your answer to the nearest thousandth, if necessary.
The correct answer and explanation is:
To convert 28 pounds (lb) to kilograms (kg) using unit fractions, we will utilize the conversion factor between pounds and kilograms, which is: 1 pound=0.45359237 kilograms1 \text{ pound} = 0.45359237 \text{ kilograms}
Step-by-step solution:
- Set up the conversion:
To convert 28 pounds to kilograms, multiply 28 by the conversion factor 0.45359237 kg1 lb\frac{0.45359237 \text{ kg}}{1 \text{ lb}}. 28 lb×0.45359237 kg1 lb28 \text{ lb} \times \frac{0.45359237 \text{ kg}}{1 \text{ lb}} - Perform the multiplication:
The pounds unit cancels out, leaving the kilograms unit: 28×0.45359237=12.70154 kg28 \times 0.45359237 = 12.70154 \text{ kg} - Round to the nearest thousandth:
After performing the multiplication, we obtain the result 12.7015412.70154. Rounded to the nearest thousandth, the answer is: 12.702 kg12.702 \text{ kg}
Final Answer:
28 pounds is approximately 12.70212.702 kilograms.
Explanation:
The process of converting pounds to kilograms relies on the use of a unit fraction. A unit fraction is a fraction where the numerator represents the desired unit (in this case, kilograms), and the denominator represents the unit we want to convert from (in this case, pounds). This method ensures the units cancel out, leaving the result in the desired unit.
The specific conversion factor 1 pound=0.45359237 kilograms1 \text{ pound} = 0.45359237 \text{ kilograms} is exact, so the calculation gives a precise result. By multiplying 28 by this factor, we convert pounds to kilograms. After performing the multiplication, rounding the result to three decimal places provides the final answer of 12.702 kg.
This method is a systematic approach to unit conversions and can be applied to any similar conversion problem by finding the correct conversion factor and multiplying.