High School

The following formula gives the temperature's measure in degrees Fahrenheit [tex]F[/tex], where [tex]C[/tex] is the measure in degrees Celsius:
[tex]F=\frac{9}{5}C+32[/tex]

Rearrange the formula to highlight the measure in degrees Celsius.
[tex]C = \square[/tex]

Answer :

Sure! Let's rearrange the given formula to solve for [tex]\( C \)[/tex], which represents the temperature in degrees Celsius.

The original formula is:

[tex]\[ F = \frac{9}{5}C + 32 \][/tex]

We want to solve for [tex]\( C \)[/tex]. To do this, let's follow these steps:

1. Subtract 32 from both sides:
Start by isolating the term with [tex]\( C \)[/tex] on one side. Subtract 32 from both sides of the equation:

[tex]\[ F - 32 = \frac{9}{5}C \][/tex]

2. Multiply both sides by the reciprocal of [tex]\( \frac{9}{5} \)[/tex]:
To solve for [tex]\( C \)[/tex], you need to get rid of the coefficient [tex]\( \frac{9}{5} \)[/tex]. You can do this by multiplying both sides of the equation by its reciprocal, which is [tex]\( \frac{5}{9} \)[/tex]:

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

Now, we have rearranged the formula to solve for [tex]\( C \)[/tex]. The new formula is:

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

This formula allows you to convert a temperature from Fahrenheit to Celsius.