To solve the formula for $F$ in terms of $C$, start with the given equation:

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

Now, follow these steps:

Step 1: Eliminate the fraction

Multiply both sides of the equation by 9 to eliminate the denominator:

$9C = 5(F - 32)$

Step 2: Distribute the 5 on the right-hand side

Expand the right-hand side of the equation:

$9C = 5F - 160$

Step 3: Isolate $F$

Add 160 to both sides of the equation:

$9C + 160 = 5F$

Step 4: Solve for $F$

Divide both sides of the equation by 5 to isolate $F$:

$F = \frac{9C + 160}{5}$

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

$F = \frac{9C + 160}{5}$

Would you like more details on this process or have any questions?

Here are 5 related questions for further practice:

1. Convert 100°C to Fahrenheit using this formula.
2. How many degrees Celsius is 212°F?
3. What is the Fahrenheit temperature when Celsius is 0°C?
4. How does the Celsius to Fahrenheit conversion compare to the Kelvin scale?
5. Solve for $F$ if $C = 37$ (body temperature).

Tip: When converting between units, keep track of significant figures for accurate scientific results.