Algebra Examples

$f = \frac{9}{5} (k - 273.15) + 32$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$f = \frac{9}{5} k + \frac{9}{5} \cdot - 273.15 + 32$

Step 1.2

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

$f = \frac{9 k}{5} + \frac{9}{5} \cdot - 273.15 + 32$

Step 1.3

Multiply $\frac{9}{5} \cdot - 273.15$ .

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Step 1.3.1

Combine $\frac{9}{5}$ and $- 273.15$ .

$f = \frac{9 k}{5} + \frac{9 \cdot - 273.15}{5} + 32$

Step 1.3.2

Multiply $9$ by $- 273.15$ .

$f = \frac{9 k}{5} + \frac{- 2458.35}{5} + 32$

Step 1.4

Divide $- 2458.35$ by $5$ .

$f = \frac{9 k}{5} - 491.67 + 32$

Step 2

Add $- 491.67$ and $32$ .

$f = \frac{9 k}{5} - 459.67$