Finite Math Examples

$\frac{\frac{\frac{7 \cdot v}{3 v^{2} + 21 v}}{v - 8}}{3 v}$

Step 1

Factor $3 v$ out of $3 v^{2} + 21 v$ .

Tap for more steps...

Step 1.1

Factor $3 v$ out of $3 v^{2}$ .

$\frac{\frac{\frac{7 \cdot v}{3 v (v) + 21 v}}{v - 8}}{3 v}$

Step 1.2

Factor $3 v$ out of $21 v$ .

$\frac{\frac{\frac{7 \cdot v}{3 v (v) + 3 v (7)}}{v - 8}}{3 v}$

Step 1.3

Factor $3 v$ out of $3 v (v) + 3 v (7)$ .

$\frac{\frac{\frac{7 \cdot v}{3 v (v + 7)}}{v - 8}}{3 v}$

Step 2

Reduce the expression $\frac{7 \cdot v}{3 v (v + 7)}$ by cancelling the common factors.

Tap for more steps...

Step 2.1

Cancel the common factor.

$\frac{\frac{\frac{7 \cdot v}{3 v (v + 7)}}{v - 8}}{3 v}$

Step 2.2

Rewrite the expression.

$\frac{\frac{\frac{7}{3 (v + 7)}}{v - 8}}{3 v}$