40 F to Celsius
Understand the Problem
The question is asking to convert a temperature given in Fahrenheit (40°F) to Celsius. This involves applying the conversion formula from Fahrenheit to Celsius.
Answer
4.44°C
Answer for screen readers
The final answer is approximately 4.44°C
Steps to Solve
- Identify the conversion formula
The formula to convert Fahrenheit to Celsius is: $$ C = \frac{5}{9} (F - 32) $$
- Substitute the Fahrenheit value
Substitute the given Fahrenheit value (40°F) into the formula:
$$ C = \frac{5}{9} (40 - 32) $$
- Calculate the difference inside parentheses
Calculate the value inside the parentheses first:
$$ 40 - 32 = 8 $$
- Multiply by ( \frac{5}{9} )
Now multiply this result by ( \frac{5}{9} ):
$$ C = \frac{5}{9} \times 8 $$
- Perform the multiplication
Perform the multiplication to find the Celsius temperature:
$$ C = \frac{40}{9} $$
- Simplify the fraction
Simplify the fraction to get the final Celsius temperature:
$$ C \approx 4.44 $$
The final answer is approximately 4.44°C
More Information
The formula for converting Fahrenheit to Celsius is derived from the linear relationship between the two temperature scales, considering that the freezing point of water is 32°F and 0°C, and the boiling point is 212°F and 100°C.
Tips
A common mistake is forgetting to subtract 32 from the Fahrenheit temperature before multiplying by ( \frac{5}{9} ). Make sure to follow the order of operations carefully.
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