College

To convert [tex]$12^{\circ} F$[/tex] to degrees Celsius, perform the calculation shown below.

What is the Celsius equivalent of [tex]$12^{\circ} F$[/tex]?

[tex]^{\circ}C = \frac{5}{9} \times (^{\circ}F - 32) = \frac{5}{9} \times (12 - 32)[/tex]

What is the Celsius equivalent of [tex]$12^{\circ} F$[/tex]?

[tex]\boxed{}^{\circ}C[/tex] (Type an integer or a simplified fraction.)

Answer :

Sure, I can help you with that!

To convert from Fahrenheit (°F) to Celsius (°C), we use the formula:
[tex]\[ {}^{\circ} C = \frac{5}{9} \times \left( {}^{\circ} F - 32 \right) \][/tex]

Given that [tex]\( {}^{\circ} F = 12 \)[/tex], we can substitute this value into the formula:

[tex]\[ {}^{\circ} C = \frac{5}{9} \times (12 - 32) \][/tex]

Next, we perform the subtraction inside the parentheses:

[tex]\[ 12 - 32 = -20 \][/tex]

So the calculation becomes:

[tex]\[ {}^{\circ} C = \frac{5}{9} \times (-20) \][/tex]

Multiply the fraction [tex]\( \frac{5}{9} \)[/tex] by [tex]\(-20\)[/tex]:

[tex]\[ {}^{\circ} C = \frac{5 \times (-20)}{9} \][/tex]

[tex]\[ {}^{\circ} C = \frac{-100}{9} \][/tex]

This fraction simplifies to approximately:

[tex]\[ {}^{\circ} C \approx -11.1111 \][/tex]

So, the Celsius equivalent of [tex]\( 12^{\circ} F \)[/tex] is approximately [tex]\(-11.11^\circ C\)[/tex].

If you need to write this as a simplified fraction, the result is:

[tex]\[ {}^{\circ} C = -\frac{100}{9} \][/tex]

Therefore, [tex]\[
12^{\circ} F = -\frac{100}{9}
\textrm{ degrees Celsius.}\][/tex]