To solve for $F$ in the equation $C = \frac{5}{9} (F - 32)$, follow these steps:

Step 1: Multiply both sides by 9 to eliminate the fraction.

$9C = 5(F - 32)$

Step 2: Divide both sides by 5 to isolate $(F - 32)$.

$\frac{9C}{5} = F - 32$

Step 3: Add 32 to both sides to solve for $F$.

$F = \frac{9C}{5} + 32$

Thus, the solution for $F$ is: $F = \frac{9C}{5} + 32$

Would you like more details or have any questions about this? Here are some related questions:

1. How can you convert temperatures between Fahrenheit and Celsius using this formula?
2. What is the physical significance of the number 32 in this equation?
3. What happens to the equation if Celsius (C) is 0?
4. How do you derive the reverse formula for Celsius given Fahrenheit?
5. What are common temperature conversions for standard values like 0°C or 100°C?

Tip: To convert from Celsius to Fahrenheit quickly, multiply by $\frac{9}{5}$ and add 32!