Solve for f D=1/5fk for f

$D = \frac{1}{5} f k$ for $f$

Rewrite the equation as $\frac{1}{5} \cdot (f k) = D$ .

$\frac{1}{5} \cdot (f k) = D$

Multiply both sides of the equation by $5$ .

$5 (\frac{1}{5} \cdot (f k)) = 5 D$

Simplify the left side.

Simplify $5 (\frac{1}{5} \cdot (f k))$ .

Multiply $\frac{1}{5} (f k)$ .

Combine $f$ and $\frac{1}{5}$ .

$5 (\frac{f}{5} k) = 5 D$

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

$5 \frac{f k}{5} = 5 D$

Cancel the common factor of $5$ .

Cancel the common factor.

$5 \frac{f k}{5} = 5 D$

Rewrite the expression.

$f k = 5 D$

Divide each term in $f k = 5 D$ by $k$ and simplify.

Divide each term in $f k = 5 D$ by $k$ .

$\frac{f k}{k} = \frac{5 D}{k}$

Simplify the left side.

Cancel the common factor of $k$ .

Cancel the common factor.

$\frac{f k}{k} = \frac{5 D}{k}$

Divide $f$ by $1$ .

$f = \frac{5 D}{k}$