# 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 slug =14.59 kilograms  1 \text { slug }= 14.59 \text { kilograms }
To convert 100 kilograms to slugs:
100 kilograms ×1 slug 14.59 kilograms  100 \text { kilograms } \times \frac{1 \text { slug }}{14.59 \text { kilograms }}
Step-by-step work:
100 kg×1 slug 14.59 kg=10014.59 slugs  100 \mathrm{~kg} \times \frac{1 \text { slug }}{14.59 \mathrm{~kg}}=\frac{100}{14.59} \text { slugs }
Simplify the fraction:
10014.596.85 slugs  \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 slug =14.59 kilograms 1 \text { slug }=14.59 \text { kilograms }

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

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

Final Answer

100 kilograms is approximately equal to 6.85 slugs.

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