Solve for c (ca)/b=(fd)/e

$\frac{c a}{b} = \frac{f d}{e}$

Step 1

Multiply both sides by $b$ .

$\frac{c a}{b} b = \frac{f d}{e} b$

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $b$ .

Cancel the common factor.

$\frac{c a}{b} b = \frac{f d}{e} b$

Rewrite the expression.

$c a = \frac{f d}{e} b$

Simplify the right side.

Combine $\frac{f d}{e}$ and $b$ .

$c a = \frac{f d b}{e}$

Step 3

Divide each term in $c a = \frac{f d b}{e}$ by $a$ and simplify.

Divide each term in $c a = \frac{f d b}{e}$ by $a$ .

$\frac{c a}{a} = \frac{\frac{f d b}{e}}{a}$

Simplify the left side.

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{c a}{a} = \frac{\frac{f d b}{e}}{a}$

Divide $c$ by $1$ .

$c = \frac{\frac{f d b}{e}}{a}$

Simplify the right side.

Multiply the numerator by the reciprocal of the denominator.

$c = \frac{f d b}{e} \cdot \frac{1}{a}$

Multiply $\frac{f d b}{e}$ by $\frac{1}{a}$ .

$c = \frac{f d b}{e a}$