Algebra Examples

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

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.

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Step 3.1

Simplify the left side.

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Step 3.1.1

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

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Step 3.1.1.1

Cancel the common factor of $9$ .

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Step 3.1.1.1.1

Cancel the common factor.

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

Step 3.1.1.1.2

Rewrite the expression.

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

Step 3.1.1.2

Cancel the common factor of $5$ .

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Step 3.1.1.2.1

Cancel the common factor.

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

Step 3.1.1.2.2

Rewrite the expression.

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

Step 3.2

Simplify the right side.

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Step 3.2.1

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

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

Step 4

Add $32$ to both sides of the equation.

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