Derive the formula for Celsius to Fahrenheit?

1 Answer
David Drayer · Meave60
Jul 11, 2017

Compare the number of degrees from the freezing point of water to its boiling point on each scale to find a ratio and add in the differences between the freezing points.

Explanation:

The Fahrenheit freezing point of water is 32^@"F"32∘F and its boiling point is 212^@"F"212∘F.

212^@"F" -32^@"F" = 180^@"F"212∘F−32∘F=180∘F between the freezing point and boiling point of water.

The Celsius freezing point of water is 0^@"C"0∘C and its boiling point is 100^@"C"100∘C.

100^@"C" -0^@"C" = 100^@"C"100∘C−0∘C=100∘C between water's freezing and boiling points.

This results in a ratio for C to F of 100/180100180 or 5/959, and
this results in a ratio for F to C of 180/100180100 or 9/595.

Then 32^@"F"32∘F equal 0^@"C"0∘C, so

The formula for ""^@"C"∘C to ""^@"F"∘F is

( ""^@"C" xx 9/5 )+ 32 = ""^@"F" (∘C×95)+32=∘F

Related questions
See all questions in Temperature Scales
Impact of this question
44536 views around the world
You can reuse this answer
Creative Commons License