To convert [tex]\( 68^\circ \text{F} \)[/tex] to degrees Celsius, we will use the formula:
[tex]\[ C = \frac{5}{9} \times (F - 32) \][/tex]
where
[tex]\( C \)[/tex] is the temperature in degrees Celsius,
and
[tex]\( F \)[/tex] is the temperature in degrees Fahrenheit, which is given as [tex]\( 68^\circ \text{F} \)[/tex].
Follow these steps to find the answer:
1. Subtract 32 from the Fahrenheit temperature:
[tex]\[ 68 - 32 = 36 \][/tex]
2. Multiply the difference by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ \frac{5}{9} \times 36 \][/tex]
This fraction can be simplified step-by-step:
a. Multiply the numerator (5) by the difference computed in step 1 (36):
[tex]\[ 5 \times 36 = 180 \][/tex]
b. Divide the result by the denominator (9):
[tex]\[ \frac{180}{9} = 20 \][/tex]
So, [tex]\( 68^\circ \text{F} \)[/tex] is equal to [tex]\( 20^\circ \text{C} \)[/tex].
Therefore, [tex]\( 68^\circ \text{F} \)[/tex] is [tex]\( 20^\circ \text{C} \)[/tex].
