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.
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 .
Solution
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:
\[
\text{weight}_{\text{kg, rounded}} = 6.1 \text{ kg}
\]