College

Given the formula [tex]$C=\frac{5}{9}(F-32)$[/tex] that expresses the relationship between Fahrenheit and Celsius, convert [tex]$14^{\circ} F$[/tex] to degrees Celsius.

[tex]14^{\circ} F = \square^{\circ} C[/tex]

Answer :

To convert a temperature from Fahrenheit (°F) to Celsius (°C) using the formula [tex]\( C = \frac{5}{9}(F - 32) \)[/tex], follow these steps:

1. Identify the temperature in Fahrenheit that you need to convert. In this case, it's [tex]\( 14^{\circ}F \)[/tex].

2. Substitute [tex]\( F = 14 \)[/tex] into the formula:
[tex]\[
C = \frac{5}{9}(14 - 32)
\][/tex]

3. Subtract 32 from 14:
[tex]\[
14 - 32 = -18
\][/tex]

4. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C = \frac{5}{9} \times (-18)
\][/tex]

5. Calculate:
[tex]\[
C = -10
\][/tex]

So, [tex]\( 14^{\circ}F \)[/tex] is equal to [tex]\( -10^{\circ}C \)[/tex].