QQuestionMathematics
QuestionMathematics
Convert 145 pounds to kilograms using dimensional analysis and unit fractions.
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Answer
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Step 1:: Write down the conversion factor as a unit fraction.
\frac{1 \text{ kg}}{2.20462 \text{ lb}}
The conversion factor from pounds to kilograms is 1 kilogram per 2.20462 pounds. This can be written as the unit fraction:
Step 2:: Set up the conversion using the given quantity and the unit fraction.
145 \text{ lb} \times \frac{1 \text{ kg}}{2.20462 \text{ lb}}
Multiply the given quantity (145 pounds) by the unit fraction to convert it to kilograms:
Step 3:: Cancel out the pounds in the numerator and denominator, leaving only kilograms:
\frac{145 \text{ lb} \times \cancel{\text{ lb}}}{\frac{2.20462 \cancel{\text{ lb}}}{\text{ kg}}}
Step 4:: Perform the division to obtain the equivalent weight in kilograms:
\frac{145}{2.20462} \approx 65.775 \text{ kg}
Final Answer
145 pounds is approximately equal to 65.775 kilograms.
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