Sure, let’s go step-by-step through the process of converting a temperature from Fahrenheit to Celsius using the given formula.
The formula for converting Fahrenheit (F) to Celsius (C) is:
[tex]\[ C = (F - 32) \cdot \frac{5}{9} \][/tex]
Now, we are given that [tex]\( F = 113^\circ \)[/tex]. To find the corresponding temperature in Celsius, substitute [tex]\( F = 113 \)[/tex] into the formula:
[tex]\[ C = (113 - 32) \cdot \frac{5}{9} \][/tex]
First, perform the subtraction inside the parentheses:
[tex]\[ 113 - 32 = 81 \][/tex]
So the expression becomes:
[tex]\[ C = 81 \cdot \frac{5}{9} \][/tex]
Next, multiply 81 by [tex]\( \frac{5}{9} \)[/tex]:
[tex]\[ 81 \cdot \frac{5}{9} = 45 \][/tex]
Therefore, the temperature in Celsius when [tex]\( F = 113^\circ \)[/tex] is:
[tex]\[ C = 45^\circ \][/tex]
So, when [tex]\( F \)[/tex] is [tex]\( 113^\circ \)[/tex], [tex]\( C \)[/tex] is [tex]\( 45^\circ \)[/tex].
