Solve for K F=9/5(K-273.15)+32

$F = \frac{9}{5} (K - 273.15) + 32$

Rewrite the equation as $\frac{9}{5} \cdot (K - 273.15) + 32 = F$ .

$\frac{9}{5} \cdot (K - 273.15) + 32 = F$

Simplify $\frac{9}{5} \cdot (K - 273.15) + 32$ .

Simplify each term.

Apply the distributive property.

$\frac{9}{5} K + \frac{9}{5} \cdot - 273.15 + 32 = F$

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

$\frac{9 K}{5} + \frac{9}{5} \cdot - 273.15 + 32 = F$

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

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

$\frac{9 K}{5} + \frac{9 \cdot - 273.15}{5} + 32 = F$

Multiply $9$ by $- 273.15$ .

$\frac{9 K}{5} + \frac{- 2458.35}{5} + 32 = F$

Divide $- 2458.35$ by $5$ .

$\frac{9 K}{5} - 491.67 + 32 = F$

Add $- 491.67$ and $32$ .

$\frac{9 K}{5} - 459.67 = F$

Add $459.67$ to both sides of the equation.

$\frac{9 K}{5} = F + 459.67$

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

$\frac{5}{9} \cdot \frac{9 K}{5} = \frac{5}{9} (F + 459.67)$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{9} \cdot \frac{9 K}{5}$ .

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{9} \cdot \frac{9 K}{5} = \frac{5}{9} (F + 459.67)$

Rewrite the expression.

$\frac{1}{9} (9 K) = \frac{5}{9} (F + 459.67)$

Cancel the common factor of $9$ .

Factor $9$ out of $9 K$ .

$\frac{1}{9} (9 (K)) = \frac{5}{9} (F + 459.67)$

Cancel the common factor.

$\frac{1}{9} (9 K) = \frac{5}{9} (F + 459.67)$

Rewrite the expression.

$K = \frac{5}{9} (F + 459.67)$

Simplify the right side.

Simplify $\frac{5}{9} (F + 459.67)$ .

Apply the distributive property.

$K = \frac{5}{9} F + \frac{5}{9} \cdot 459.67$

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

$K = \frac{5 F}{9} + \frac{5}{9} \cdot 459.67$

Multiply $\frac{5}{9} \cdot 459.67$ .

Combine $\frac{5}{9}$ and $459.67$ .

$K = \frac{5 F}{9} + \frac{5 \cdot 459.67}{9}$

Multiply $5$ by $459.67$ .

$K = \frac{5 F}{9} + \frac{2298.35}{9}$

Divide $2298.35$ by $9$ .

$K = \frac{5 F}{9} + 255.37\overline{2}$

Solve for K F=9/5(K-273.15)+32

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