College

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Rewrite the formula to convert Fahrenheit to Celsius using fractions instead of decimal numbers.

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

Find the formula for Celsius, [tex]C[/tex], in terms of Fahrenheit, [tex]F[/tex].

Answer :

We start with the formula that converts degrees Celsius to degrees Fahrenheit:

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

Our goal is to rewrite this formula so that it converts Fahrenheit to Celsius (i.e., solve for [tex]$C$[/tex] in terms of [tex]$F$[/tex]).

Step 1. Subtract 32 from both sides

Subtract [tex]$32$[/tex] from each side of the equation:

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

Step 2. Multiply both sides by the reciprocal of [tex]$\frac{9}{5}$[/tex]

The reciprocal of [tex]$\frac{9}{5}$[/tex] is [tex]$\frac{5}{9}$[/tex]. Multiply both sides of the equation by [tex]$\frac{5}{9}$[/tex]:

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

We can rewrite this equation as:

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

Thus, the conversion formula from Fahrenheit to Celsius is:

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