Find Where Undefined/Discontinuous (5a)/(3a-2)

$\frac{5 a}{3 a - 2}$

Step 1

Set the denominator in $\frac{5 a}{3 a - 2}$ equal to $0$ to find where the expression is undefined.

$3 a - 2 = 0$

Step 2

Solve for $a$ .

Add $2$ to both sides of the equation.

$3 a = 2$

Divide each term in $3 a = 2$ by $3$ and simplify.

Divide each term in $3 a = 2$ by $3$ .

$\frac{3 a}{3} = \frac{2}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 a}{3} = \frac{2}{3}$

Divide $a$ by $1$ .

$a = \frac{2}{3}$

Step 3