Convert a temperature of 31°C to °F. Convert a temperature of 92°F to °C.

To convert temperatures between Celsius (°C) and Fahrenheit (°F), you can use the following formulas:

1. **Celsius to Fahrenheit**:  
   \[
   F = \left( \frac{9}{5} \times C \right) + 32
   \]
2. **Fahrenheit to Celsius**:  
   \[
   C = \frac{5}{9} \times (F - 32)
   \]

Let's perform the conversions:

### 1. Convert 31°C to Fahrenheit:
\[
F = \left( \frac{9}{5} \times 31 \right) + 32 = 55.8 + 32 = 87.8°F
\]

### 2. Convert 92°F to Celsius:
\[
C = \frac{5}{9} \times (92 - 32) = \frac{5}{9} \times 60 = 33.33°C
\]

So, the conversions are:
- 31°C = 87.8°F
- 92°F = 33.33°C

Would you like further details on these conversions?

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**Related questions**:
1. What is the formula to convert Kelvin to Fahrenheit?
2. How do you convert negative Celsius temperatures to Fahrenheit?
3. What is the difference between Celsius and Kelvin temperature scales?
4. Can you calculate temperature changes using these formulas?
5. Why is the Celsius to Fahrenheit conversion formula not a simple linear relationship?

**Tip**: Always check if you need to round the answer based on the desired level of precision!

Learn how to convert temperatures between Celsius and Fahrenheit. This step-by-step guide shows the conversion of 31°C to 87.8°F and 92°F to 33.33°C using linear equations. Suitable for students in Grades 6-8.

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