Understanding the Formulas
* Celsius to Fahrenheit: F = (9/5)C + 32
* Fahrenheit to Celsius: C = (5/9)(F - 32)
Solving for the Same Reading
1. Set the formulas equal: Since we want the temperature to be the same in both scales, we can set the formulas equal to each other:
(9/5)C + 32 = C
2. Solve for C:
* Subtract (9/5)C from both sides: 32 = - (4/5)C
* Multiply both sides by -5/4: C = -40
The Answer
The only temperature where a laboratory thermometer shows the same reading in Celsius and Fahrenheit is -40 degrees.
