Evaluate Using the Given Value b/c=a , c

$\frac{b}{c} = a$ , $c$

Step 1

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$c, 1$

The LCM of one and any expression is the expression.

$c$

Step 2

Multiply each term in $\frac{b}{c} = a$ by $c$ to eliminate the fractions.

Multiply each term in $\frac{b}{c} = a$ by $c$ .

$\frac{b}{c} c = a c$

Simplify the left side.

Cancel the common factor of $c$ .

Cancel the common factor.

$\frac{b}{c} c = a c$

Rewrite the expression.

$b = a c$

Step 3

Solve the equation.

Rewrite the equation as $a c = b$ .

$a c = b$

Divide each term in $a c = b$ by $a$ and simplify.

Divide each term in $a c = b$ by $a$ .

$\frac{a c}{a} = \frac{b}{a}$

Simplify the left side.

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{a c}{a} = \frac{b}{a}$

Divide $c$ by $1$ .

$c = \frac{b}{a}$