College

Convert [tex]$-15.0^{\circ} F$[/tex] to Celsius.

[tex]-15.0^{\circ} F = [?]^{\circ} C[/tex]

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]]

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