Answer :
To convert a temperature from Fahrenheit to Celsius, we use the formula:
[tex]\[ \text{Celsius} = (\text{Fahrenheit} - 32) \times \frac{5}{9} \][/tex]
Let's apply this formula step-by-step to find the Celsius equivalent of [tex]\(-40^\circ \text{F}\)[/tex]:
1. Start with the given temperature: [tex]\(-40^\circ \text{F}\)[/tex].
2. Subtract 32 from the Fahrenheit temperature:
[tex]\[
-40 - 32 = -72
\][/tex]
3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
-72 \times \frac{5}{9} = -40
\][/tex]
So, the Celsius equivalent of [tex]\(-40^\circ \text{F}\)[/tex] is [tex]\(-40^\circ \text{C}\)[/tex].
Interestingly, [tex]\(-40\)[/tex] is the temperature where both Fahrenheit and Celsius scales meet, meaning [tex]\(-40^\circ \text{F}\)[/tex] is the same as [tex]\(-40^\circ \text{C}\)[/tex].
[tex]\[ \text{Celsius} = (\text{Fahrenheit} - 32) \times \frac{5}{9} \][/tex]
Let's apply this formula step-by-step to find the Celsius equivalent of [tex]\(-40^\circ \text{F}\)[/tex]:
1. Start with the given temperature: [tex]\(-40^\circ \text{F}\)[/tex].
2. Subtract 32 from the Fahrenheit temperature:
[tex]\[
-40 - 32 = -72
\][/tex]
3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
-72 \times \frac{5}{9} = -40
\][/tex]
So, the Celsius equivalent of [tex]\(-40^\circ \text{F}\)[/tex] is [tex]\(-40^\circ \text{C}\)[/tex].
Interestingly, [tex]\(-40\)[/tex] is the temperature where both Fahrenheit and Celsius scales meet, meaning [tex]\(-40^\circ \text{F}\)[/tex] is the same as [tex]\(-40^\circ \text{C}\)[/tex].