Sure, let's go through the detailed, step-by-step solution for converting 95 degrees Fahrenheit (°F) to Celsius (°C).
1. Formula for Conversion:
The formula to convert Fahrenheit to Celsius is:
[tex]\[
C = \frac{5}{9} \times (F - 32)
\][/tex]
2. Substitute the Given Fahrenheit Temperature:
We are given that [tex]\( F = 95 \)[/tex] degrees Fahrenheit. Substituting [tex]\( F \)[/tex] into the formula gives:
[tex]\[
C = \frac{5}{9} \times (95 - 32)
\][/tex]
3. Calculate the Difference:
First, we'll calculate the difference between 95 and 32:
[tex]\[
95 - 32 = 63
\][/tex]
4. Multiply by the Conversion Factor:
Next, we multiply 63 by the fraction [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C = \frac{5}{9} \times 63
\][/tex]
5. Simplify the Multiplication:
Finally, we perform the multiplication:
[tex]\[
C = 35
\][/tex]
Therefore, 95 degrees Fahrenheit is equivalent to 35 degrees Celsius.
