## Physics Question #3605

Aime Roger, a 22 year old male from Halifax asks on September 10, 2006,

I am quite confused with temperature scales! i would like to know the link between the degree celsius scale and the Fahrenheit scale. My question is: can there be a temperature at which the degree celsius and the degree fahrenheit have the same value?

viewed 14565 times

### Barry Shell answered on October 3, 2006

It works like this...

Tc = (5/9)*(Tf-32)

where Tc = temperature in degrees Celsius, Tf = temperature in degrees Fahrenheit

For example, suppose you have a Fahrenheit temperature of 98.6 degrees and you wanted to convert it into degrees Celsius. Using the above formula, you would first subtract 32 from the Fahrenheit temperature and get 66.6. Then you multiply 66.6 by five-ninths and get 37 degrees Celsius.

The formula to convert a Celsius temperature into degrees Fahrenheit is:

Tf = (9/5)*Tc+32

For example, suppose you have a Celsius temperature of 100 degrees and you want to convert it into degrees Fahrenheit. Using the above formula, you first multiply the Celsius temperature reading by nine-fifths and get 180. Then you add 32 to 180 and get 212 degrees Fahrenheit.

The point at which Celsius and Fahrenheit are the same temperature is -40, that is 40 below zero.

#### Add to or comment on this answer using the form below.

Note: All submissions are moderated prior to posting.

If you found this answer useful, please consider making a small donation to science.ca.