To rewrite the formula [tex]\( F = \frac{9}{5}C + 32 \)[/tex] to convert Fahrenheit (F) to Celsius (C), we can follow these steps:
1. Start with the original formula:
[tex]\[ F = \frac{9}{5}C + 32 \][/tex]
2. Isolate the term with [tex]\( C \)[/tex] on one side:
To do this, first subtract 32 from both sides:
[tex]\[ F - 32 = \frac{9}{5}C \][/tex]
3. Remove the fraction by multiplying both sides of the equation by 5:
[tex]\[ 5(F - 32) = 9C \][/tex]
4. Solve for [tex]\( C \)[/tex] by dividing both sides by 9:
[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]
So, the formula to convert Fahrenheit to Celsius is:
[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]
This equation expresses the temperature in degrees Celsius ([tex]\(C\)[/tex]) as a function of the temperature in degrees Fahrenheit ([tex]\(F\)[/tex]).