Solve for f D=1/3fk for f

$D = \frac{1}{3} f k$ for $f$

Step 1

Rewrite the equation as $\frac{1}{3} \cdot (f k) = D$ .

$\frac{1}{3} \cdot (f k) = D$

Step 2

Multiply both sides of the equation by $3$ .

$3 (\frac{1}{3} \cdot (f k)) = 3 D$

Step 3

Simplify the left side.

Simplify $3 (\frac{1}{3} \cdot (f k))$ .

Multiply $\frac{1}{3} (f k)$ .

Combine $f$ and $\frac{1}{3}$ .

$3 (\frac{f}{3} k) = 3 D$

Combine $\frac{f}{3}$ and $k$ .

$3 \frac{f k}{3} = 3 D$

Cancel the common factor of $3$ .

Cancel the common factor.

$3 \frac{f k}{3} = 3 D$

Rewrite the expression.

$f k = 3 D$

Step 4

Divide each term in $f k = 3 D$ by $k$ and simplify.

Divide each term in $f k = 3 D$ by $k$ .

$\frac{f k}{k} = \frac{3 D}{k}$

Simplify the left side.

Cancel the common factor of $k$ .

Cancel the common factor.

$\frac{f k}{k} = \frac{3 D}{k}$

Divide $f$ by $1$ .

$f = \frac{3 D}{k}$