Solve for f k=5/9(f+459.67)

$k = \frac{5}{9} (f + 459.67)$

Step 1

Rewrite the equation as $\frac{5}{9} \cdot (f + 459.67) = k$ .

$\frac{5}{9} \cdot (f + 459.67) = k$

Step 2

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

$\frac{9}{5} (\frac{5}{9} \cdot (f + 459.67)) = \frac{9}{5} k$

Step 3

Simplify both sides of the equation.

Simplify the left side.

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

Apply the distributive property.

$\frac{9}{5} (\frac{5}{9} f + \frac{5}{9} \cdot 459.67) = \frac{9}{5} k$

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

$\frac{9}{5} (\frac{5 f}{9} + \frac{5}{9} \cdot 459.67) = \frac{9}{5} k$

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

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

$\frac{9}{5} (\frac{5 f}{9} + \frac{5 \cdot 459.67}{9}) = \frac{9}{5} k$

Multiply $5$ by $459.67$ .

$\frac{9}{5} (\frac{5 f}{9} + \frac{2298.35}{9}) = \frac{9}{5} k$

Divide $2298.35$ by $9$ .

$\frac{9}{5} (\frac{5 f}{9} + 255.37\overline{2}) = \frac{9}{5} k$

Apply the distributive property.

$\frac{9}{5} \cdot \frac{5 f}{9} + \frac{9}{5} \cdot 255.37\overline{2} = \frac{9}{5} k$

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9}{5} \cdot \frac{5 f}{9} + \frac{9}{5} \cdot 255.37\overline{2} = \frac{9}{5} k$

Rewrite the expression.

$\frac{1}{5} (5 f) + \frac{9}{5} \cdot 255.37\overline{2} = \frac{9}{5} k$

Cancel the common factor of $5$ .

Factor $5$ out of $5 f$ .

$\frac{1}{5} (5 (f)) + \frac{9}{5} \cdot 255.37\overline{2} = \frac{9}{5} k$

Cancel the common factor.

$\frac{1}{5} (5 f) + \frac{9}{5} \cdot 255.37\overline{2} = \frac{9}{5} k$

Rewrite the expression.

$f + \frac{9}{5} \cdot 255.37\overline{2} = \frac{9}{5} k$

Multiply $\frac{9}{5} \cdot 255.37\overline{2}$ .

Combine $\frac{9}{5}$ and $255.37\overline{2}$ .

$f + \frac{9 \cdot 255.37\overline{2}}{5} = \frac{9}{5} k$

Multiply $9$ by $255.37\overline{2}$ .

$f + \frac{2298.35}{5} = \frac{9}{5} k$

Divide $2298.35$ by $5$ .

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

Simplify the right side.

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

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

Step 4

Subtract $459.67$ from both sides of the equation.

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

Solve for f k=5/9(f+459.67)

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