To solve this problem, we need to convert a temperature from Fahrenheit to Celsius using the formula provided:

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

where:

• $F$ is the temperature in Fahrenheit,
• $C$ is the temperature in Celsius.

Step-by-Step Solution

1. Substitute the Fahrenheit value $F = 77$ into the formula: $C = \frac{5(77 - 32)}{9}$

2. Calculate the value inside the parentheses: $77 - 32 = 45$

3. Multiply by 5: $5 \times 45 = 225$

4. Divide by 9: $\frac{225}{9} = 25$

Answer

The Celsius temperature is: $C = 25^\circ \text{C}$

Let me know if you want further details or have questions about any steps.

Related Questions

1. How would you convert a Celsius temperature back to Fahrenheit?
2. What would the Celsius temperature be if the Fahrenheit reading was 32°?
3. Can this formula be rearranged to directly solve for Fahrenheit when Celsius is known?
4. What is the significance of 32 and 9/5 in the Fahrenheit to Celsius conversion?
5. How would this calculation change if working with Kelvin instead of Celsius?

Tip

When converting temperatures, remember that 32°F is the freezing point of water, equivalent to 0°C, and can help you quickly estimate conversions.