College

The formula [tex]$C = \frac{5}{9}(F - 32)$[/tex] expresses the relationship between Fahrenheit temperature, [tex]F[/tex], and Celsius temperature, [tex]C[/tex]. Use the formula to convert [tex]$68^{\circ} F$[/tex] to its equivalent temperature on the Celsius scale.

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

Answer :

To convert [tex]\(68^\circ F\)[/tex] to Celsius using the formula [tex]\(C = \frac{5}{9}(F-32)\)[/tex], follow these steps:

1. Subtract 32 from the Fahrenheit temperature:
[tex]\(68 - 32 = 36\)[/tex].

2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\(\frac{5}{9} \times 36\)[/tex].

3. Calculate the multiplication:
[tex]\(5 \times 36 = 180\)[/tex].

4. Divide by 9:
[tex]\(\frac{180}{9} = 20\)[/tex].

So, [tex]\(68^\circ F\)[/tex] is equivalent to [tex]\(20^\circ C\)[/tex] on the Celsius scale.