Algebra Examples

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

Step 1

Divide each term in $F c = \frac{9}{5} C + 32$ by $c$ .

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

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $c$ .

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Step 2.1.1

Cancel the common factor.

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

Step 2.1.2

Divide $F$ by $1$ .

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

Step 3

Simplify the right side.

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Step 3.1

Simplify each term.

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Step 3.1.1

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

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

Step 3.1.2

Multiply the numerator by the reciprocal of the denominator.

$F = \frac{9 C}{5} \cdot \frac{1}{c} + \frac{32}{c}$

Step 3.1.3

Multiply $\frac{9 C}{5}$ by $\frac{1}{c}$ .

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