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

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Algebra

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

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

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

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

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

Simplify both sides of the equation.

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

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Cancel the common factor of $9$ .

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Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $5$ .

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Cancel the common factor.

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

Rewrite the expression.

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

Multiply $f - 32$ by $1$ .

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

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

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

Add $32$ to both sides of the equation.

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

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