Why can't I convert temperature units using simple conversions?

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Converting temperature units between Kelvin and Fahrenheit requires more than simple multiplication due to the different scaling and offsets of the temperature scales. The correct conversion involves using the formula T(K) = {5/9[T(F) - 32]} + 273.15, which accounts for both the linear offset and the varying increments per degree. While Celsius and Kelvin share the same step size, Fahrenheit introduces a different scaling factor, complicating direct conversions. The confusion arises because other unit conversions may work with straightforward multiplication, but temperature conversions necessitate specific formulas. Understanding these relationships is crucial for accurate temperature conversions.
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Why I cannot convert 1 K to say 1 F using these conversions:
=1 K * (1 C/ 274.15 K) * (33.8 F / 1 C )?

I get correct answer only if I substitute F in K-C formula for C:
T(K) = {5/9[T(F) -32]}+273.15

Thanks.

P.S. just solved another question using the conversion units provided ..
http://www.katmarsoftware.com/gconvals.htm
 
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You want to convert degrees K to degrees F? Each of these temperature scales have linear offsets with respect to each other. The K and C scales have the same step per degree, but are offset from each other. The K and F scales have different steps (lke the 5/9 factor that you list in the answer), and they are offset. That is why you need to use an equation more like the 2nd one to convert from F to K and visa-versa.
 
Thanks,
I thought of that..
but as all other units co-incidently can be converted using that first way, so I got confused...
 
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