Convert \( 287.1^{\circ} \mathrm{F} \) to kelvins.

To convert Fahrenheit to Kelvin, we can use the formula: \[ K = \frac{5}{9} \times (F - 32) + 273.15 \] Given that \( F = 287.1^{\circ} \mathrm{F} \), we can substitute this value into the formula to find the equivalent temperature in Kelvin. Calculate the value by following steps: - step0: Calculate: \(\frac{5}{9}\left(287.1-32\right)+273.15\) - step1: Subtract the numbers: \(\frac{5}{9}\times 255.1+273.15\) - step2: Multiply the numbers: \(\frac{2551}{18}+273.15\) - step3: Convert the expressions: \(\frac{2551}{18}+\frac{5463}{20}\) - step4: Reduce fractions to a common denominator: \(\frac{2551\times 10}{18\times 10}+\frac{5463\times 9}{20\times 9}\) - step5: Calculate: \(\frac{25510}{180}+\frac{49167}{180}\) - step6: Transform the expression: \(\frac{25510+49167}{180}\) - step7: Add the numbers: \(\frac{74677}{180}\) The temperature of \( 287.1^{\circ} \mathrm{F} \) is equivalent to approximately \( 414.87 \, \text{K} \) in Kelvin.