Questions: You may need some of these conversions: WEIGHT UNITS 1 kg = 2.2 lb 1 pound (lb) = 16 oz LENGTH UNITS 1 inch (in) = 2.5 cm 1 foot (ft) = 12 in Convert 214 oz to kg, rounding to the nearest tenth of a kg.

You may need some of these conversions:

WEIGHT UNITS
1 kg = 2.2 lb
1 pound (lb) = 16 oz

LENGTH UNITS
1 inch (in) = 2.5 cm
1 foot (ft) = 12 in

Convert 214 oz to kg, rounding to the nearest tenth of a kg.
Transcript text: You may need some of these conversions: WEIGHT UNITS $1 \mathrm{~kg}=2.2 \mathrm{lb}$ 1 pound ( lb ) = 16 oz LENGTH UNITS 1 inch (in) $=2.5 \mathrm{~cm}$ 1 foot $(\mathrm{ft})=12 \mathrm{in}$ Convert 214 oz to kg , rounding to the nearest tenth of a kg .
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Solution

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Solution Steps

Step 1: Convert Ounces to Pounds

To convert ounces to pounds, we use the conversion factor \(1 \text{ lb} = 16 \text{ oz}\). Therefore, the conversion can be expressed as: \[ \text{weight}_{\text{lb}} = \frac{\text{weight}_{\text{oz}}}{16} = \frac{214}{16} = 13.375 \text{ lb} \]

Step 2: Convert Pounds to Kilograms

Next, we convert pounds to kilograms using the conversion factor \(1 \text{ kg} = 2.2 \text{ lb}\). The conversion is given by: \[ \text{weight}_{\text{kg}} = \frac{\text{weight}_{\text{lb}}}{2.2} = \frac{13.375}{2.2} \approx 6.079545454545454 \text{ kg} \]

Step 3: Round to the Nearest Tenth

Finally, we round the result to the nearest tenth: \[ \text{weight}_{\text{kg, rounded}} = 6.1 \text{ kg} \]

Final Answer

\(\boxed{6.1 \text{ kg}}\)

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