Solve for f d=1/4fk

$d = \frac{1}{4} f k$

Step 1

Rewrite the equation as $\frac{1}{4} \cdot (f k) = d$ .

$\frac{1}{4} \cdot (f k) = d$

Step 2

Multiply both sides of the equation by $4$ .

$4 (\frac{1}{4} \cdot (f k)) = 4 d$

Step 3

Simplify the left side.

Simplify $4 (\frac{1}{4} \cdot (f k))$ .

Multiply $\frac{1}{4} (f k)$ .

Combine $f$ and $\frac{1}{4}$ .

$4 (\frac{f}{4} k) = 4 d$

Combine $\frac{f}{4}$ and $k$ .

$4 \frac{f k}{4} = 4 d$

Cancel the common factor of $4$ .

Cancel the common factor.

$4 \frac{f k}{4} = 4 d$

Rewrite the expression.

$f k = 4 d$

Step 4

Divide each term in $f k = 4 d$ by $k$ and simplify.

Divide each term in $f k = 4 d$ by $k$ .

$\frac{f k}{k} = \frac{4 d}{k}$

Simplify the left side.

Cancel the common factor of $k$ .

Cancel the common factor.

$\frac{f k}{k} = \frac{4 d}{k}$

Divide $f$ by $1$ .

$f = \frac{4 d}{k}$