College

Convert [tex]68^{\circ} F[/tex] to degrees Celsius.

Use the formula [tex]C = \frac{5(F-32)}{9}[/tex], where [tex]C[/tex] = temperature in [tex]^{\circ}[/tex] Celsius, [tex]F[/tex] = temperature in [tex]^{\circ}[/tex] Fahrenheit.

[tex]68^{\circ} F = \square \, ^{\circ} C[/tex]

Answer :

To convert [tex]\(68^\circ F\)[/tex] to degrees Celsius, you can 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.

Here's a step-by-step solution:

1. Start with the given temperature in Fahrenheit: [tex]\(68^\circ F\)[/tex].

2. Substitute [tex]\(68\)[/tex] for [tex]\(F\)[/tex] in the formula:

[tex]\[ C = \frac{5}{9} \times (68 - 32) \][/tex]

3. Calculate the difference inside the parentheses:

[tex]\[ 68 - 32 = 36 \][/tex]

4. Now plug this value back into the formula:

[tex]\[ C = \frac{5}{9} \times 36 \][/tex]

5. Multiply [tex]\(5\)[/tex] by [tex]\(36\)[/tex]:

[tex]\[ 5 \times 36 = 180 \][/tex]

6. Finally, divide [tex]\(180\)[/tex] by [tex]\(9\)[/tex]:

[tex]\[ C = \frac{180}{9} = 20 \][/tex]

Therefore, [tex]\(68^\circ F\)[/tex] is equal to [tex]\(20^\circ C\)[/tex].