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------------------------------------------------ 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].

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]