Algebra Examples

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

Step 1

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

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Step 1.1

Apply the distributive property.

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

Step 1.2

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

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

Step 1.3

Multiply $\frac{5}{9} \cdot - 32$ .

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Step 1.3.1

Combine $\frac{5}{9}$ and $- 32$ .

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

Step 1.3.2

Multiply $5$ by $- 32$ .

$C = \frac{5 F}{9} + \frac{- 160}{9}$

Step 1.4

Move the negative in front of the fraction.

$C = \frac{5 F}{9} - \frac{160}{9}$

Step 2

To rewrite as a function of $c$ , write the equation so that $C$ is by itself on one side of the equal sign and an expression involving only $c$ is on the other side.

$f (c) = \frac{5 F}{9} - \frac{160}{9}$