# 1 slug (a unit of mass) is equal to 14.59 kilograms. Convert 100 kilograms to slugs. Show your work clearly, including the cancellation of units. Given: 1 \text { slug }= 14.59 \text { kilograms } To convert 100 kilograms to slugs: 100 \text { kilograms } \times \frac{1 \text { slug }}{14.59 \text { kilograms }} Step-by-step work: 100 \mathrm{~kg} \times \frac{1 \text { slug }}{14.59 \mathrm{~kg}}=\frac{100}{14.59} \text { slugs } Simplify the fraction: \frac{100}{14.59} \approx 6.85 \text { slugs } Therefore, 100 kilograms is approximately 6.85 slugs.
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Answer

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Step 1
: Write down the given conversion factor.

1 \text { slug }=14.59 \text { kilograms }

Step 2
: Set up the conversion of 100 kilograms to slugs.

100 \text { kilograms } \times \text{ conversion factor }

Final Answer

100 kilograms is approximately equal to 6.85 slugs.