Solve for f c=(5(f-32))/9

$c = \frac{5 (f - 32)}{9}$

Step 1

Rewrite the equation as $\frac{5 (f - 32)}{9} = c$ .

$\frac{5 (f - 32)}{9} = c$

Step 2

Multiply both sides of the equation by $\frac{9}{5}$ .

$\frac{9}{5} \cdot \frac{5 (f - 32)}{9} = \frac{9}{5} c$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{9}{5} \cdot \frac{5 (f - 32)}{9}$ .

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9}{5} \cdot \frac{5 (f - 32)}{9} = \frac{9}{5} c$

Rewrite the expression.

$\frac{1}{5} (5 (f - 32)) = \frac{9}{5} c$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{1}{5} (5 (f - 32)) = \frac{9}{5} c$

Rewrite the expression.

$f - 32 = \frac{9}{5} c$

Simplify the right side.

Combine $\frac{9}{5}$ and $c$ .

$f - 32 = \frac{9 c}{5}$

Step 4

Add $32$ to both sides of the equation.

$f = \frac{9 c}{5} + 32$