To convert a temperature from Fahrenheit to Celsius, we use the formula:
[tex]\[ C = \frac{5}{9} \cdot (F - 32) \][/tex]
where [tex]\( F \)[/tex] is the temperature in Fahrenheit and [tex]\( C \)[/tex] is the temperature in Celsius.
Let's apply this formula step-by-step with the given temperature of [tex]\( 86^\circ F \)[/tex]:
1. Start with the temperature in Fahrenheit:
[tex]\[ F = 86 \][/tex]
2. Subtract 32 from the Fahrenheit temperature:
[tex]\[ F - 32 = 86 - 32 = 54 \][/tex]
3. Multiply the result by [tex]\( \frac{5}{9} \)[/tex]:
[tex]\[ C = \frac{5}{9} \cdot 54 \][/tex]
4. Perform the multiplication:
[tex]\[ C = \frac{5 \times 54}{9} \][/tex]
5. Simplify the fraction:
[tex]\[ C = \frac{270}{9} = 30 \][/tex]
Therefore, the temperature [tex]\( 86^\circ F \)[/tex] converted to Celsius is:
[tex]\[ 30^\circ C \][/tex]
