The given equation is:

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

We need to solve for $F$.

Step-by-Step Solution:

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

$9C = 5(F - 32)$

2. Divide both sides by 5:

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

3. Add 32 to both sides to isolate $F$:

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

Thus, the formula for $F$ in terms of $C$ is:

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

Would you like further details or have any other questions?

Here are 5 related questions:

1. How do we convert Fahrenheit to Celsius using this equation?
2. What is the physical meaning of the constant 32 in the formula?
3. How does the fraction $\frac{5}{9}$ arise in temperature conversion?
4. Can you solve this formula for $C$ when given a specific value of $F$?
5. How does this formula apply to real-world temperature conversions?

Tip: Always check your steps by substituting values back into the equation to verify the solution.