Convert the quantity to the indicated units: 26 pounds to kilograms. Waloh: (Mass) ounce (oz) 28 grams (g), 91 pounds (lb) = 0.45 kilograms (kg), ton (T) = 0.9 tonne (t). 28 lb > kg (Round to the nearest hundredth if needed).
The Correct Answer and Explanation is:
To convert 26 pounds (lb) to kilograms (kg), we can use the conversion factor that 91 pounds equals 0.45 kilograms.
Step 1: Set up the conversion factor.
Given:
- 91 pounds = 0.45 kilograms
We want to convert 26 pounds into kilograms, so we can use the following proportion:91 pounds0.45 kilograms=26 poundsx kilograms\frac{91 \, \text{pounds}}{0.45 \, \text{kilograms}} = \frac{26 \, \text{pounds}}{x \, \text{kilograms}}0.45kilograms91pounds=xkilograms26pounds
Where xxx represents the unknown value in kilograms.
Step 2: Solve for xxx.
To solve for xxx, cross-multiply and divide:91x=0.45×2691x = 0.45 \times 2691x=0.45×2691x=11.791x = 11.791x=11.7x=11.791x = \frac{11.7}{91}x=9111.7x≈0.12857 kilogramsx \approx 0.12857 \, \text{kilograms}x≈0.12857kilograms
Step 3: Round the result.
To the nearest hundredth:x≈0.13 kilogramsx \approx 0.13 \, \text{kilograms}x≈0.13kilograms
Final Answer:
26 pounds is approximately 0.13 kilograms when using the given conversion factors.
Explanation:
In this conversion, the main idea is to use the known relationship between pounds and kilograms and set up a proportion to solve for the missing value. We multiply the given quantity (26 pounds) by the ratio of kilograms per pound (based on the conversion of 91 pounds to 0.45 kg). The result is then rounded to two decimal places, which is the standard for most conversions involving mass.
