Simple temperature conversion problem

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The temperature difference of 64°F needs to be converted to Celsius and Kelvin. The correct conversion for Celsius is calculated as (64)(5/9), resulting in approximately 35.6°C. The initial approach incorrectly applied the conversion equations for absolute temperatures instead of differences. For Kelvin, the equivalent difference would be 35.6°C plus 273.15, leading to a final value of about 308.75 K. The key takeaway is to treat temperature differences separately from absolute temperatures during conversion.
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Homework Statement



I know this sounds too easy, but somehow webassign refuses my answers

The temperature difference between the inside and the outside of a home on a cold winter day is 64°F.

(a) Express this difference on the Celsius scale.
160/9

(b) Express this difference on the Kelvin scale.
2617/9


Homework Equations



C=5(F-32)/9
K=C+273.15

The Attempt at a Solution



Simply using the equations I got
C=160/9 or 17.7777778
K=2617/9 or 290.77777778

I inputted them three times in three forms, what is wrong with my answers?
 
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Your equations are for converting one temperature from one scale to another. What you are given is a temperature difference. Suppose it's T Deg F outside and T+64 inside, then try your equations on each and take the difference after conversion. What do you notice?
 
Thank you very much haruspex, I should have not subtracted 32 from the given temperature difference.
The right answer should be (64)(5/9)= 35.6
 
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