Certainly! Let's go through the steps to convert [tex]\( 212^\circ F \)[/tex] to Celsius using the formula:
### Step-by-Step Solution
1. Identify the formula for conversion:
The formula to convert Fahrenheit to Celsius is:
[tex]\[
C = \frac{(F - 32) \times 5}{9}
\][/tex]
2. Substitute the given Fahrenheit temperature into the formula:
Here, [tex]\( F = 212^\circ F \)[/tex].
Substitute [tex]\( 212 \)[/tex] in place of [tex]\( F \)[/tex]:
[tex]\[
C = \frac{(212 - 32) \times 5}{9}
\][/tex]
3. Subtract 32 from 212:
Calculate the difference:
[tex]\[
212 - 32 = 180
\][/tex]
4. Multiply the result by 5:
Now multiply 180 by 5:
[tex]\[
180 \times 5 = 900
\][/tex]
5. Divide by 9:
Finally, divide the product by 9 to obtain the Celsius temperature:
[tex]\[
\frac{900}{9} = 100
\][/tex]
So, the temperature in Celsius is [tex]\( 100^\circ C \)[/tex].
Therefore, [tex]\( 212^\circ F \)[/tex] is equivalent to [tex]\( 100^\circ C \)[/tex].
