Answer :
To convert from Fahrenheit ([tex]$F$[/tex]) to Celsius ([tex]$C$[/tex]), we use the formula
[tex]$$
C = \frac{5}{9} (F - 32).
$$[/tex]
Step 1: Substitute [tex]$F = -15.0^\circ$[/tex] into the formula:
[tex]$$
C = \frac{5}{9} (-15.0 - 32).
$$[/tex]
Step 2: Calculate the expression inside the parentheses:
[tex]$$
-15.0 - 32 = -47.0.
$$[/tex]
Step 3: Multiply by [tex]$\frac{5}{9}$[/tex]:
[tex]$$
C = \frac{5}{9} \times (-47.0) = \frac{-235.0}{9}.
$$[/tex]
Step 4: Divide [tex]$-235.0$[/tex] by [tex]$9$[/tex]:
[tex]$$
C \approx -26.1111^\circ.
$$[/tex]
Thus, the temperature conversion is
[tex]$$
-15.0^\circ F \approx -26.11^\circ C.
$$[/tex]]
[tex]$$
C = \frac{5}{9} (F - 32).
$$[/tex]
Step 1: Substitute [tex]$F = -15.0^\circ$[/tex] into the formula:
[tex]$$
C = \frac{5}{9} (-15.0 - 32).
$$[/tex]
Step 2: Calculate the expression inside the parentheses:
[tex]$$
-15.0 - 32 = -47.0.
$$[/tex]
Step 3: Multiply by [tex]$\frac{5}{9}$[/tex]:
[tex]$$
C = \frac{5}{9} \times (-47.0) = \frac{-235.0}{9}.
$$[/tex]
Step 4: Divide [tex]$-235.0$[/tex] by [tex]$9$[/tex]:
[tex]$$
C \approx -26.1111^\circ.
$$[/tex]
Thus, the temperature conversion is
[tex]$$
-15.0^\circ F \approx -26.11^\circ C.
$$[/tex]]
