Simplify ((7x^3)/3)÷((14x^2)/6)

$\frac{7 x^{3}}{3} \div \frac{14 x^{2}}{6}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{7 x^{3}}{3} \cdot \frac{6}{14 x^{2}}$

Step 2

Combine.

$\frac{7 x^{3} \cdot 6}{3 (14 x^{2})}$

Step 3

Cancel the common factor of $7$ and $14$ .

Factor $7$ out of $7 x^{3} \cdot 6$ .

$\frac{7 (x^{3} \cdot 6)}{3 (14 x^{2})}$

Cancel the common factors.

Factor $7$ out of $3 (14 x^{2})$ .

$\frac{7 (x^{3} \cdot 6)}{7 (3 (2 x^{2}))}$

Cancel the common factor.

$\frac{7 (x^{3} \cdot 6)}{7 (3 (2 x^{2}))}$

Rewrite the expression.

$\frac{x^{3} \cdot 6}{3 (2 x^{2})}$

$\frac{x^{3} \cdot 6}{3 (2 x^{2})}$

$\frac{x^{3} \cdot 6}{3 (2 x^{2})}$

Step 4

Cancel the common factor of $x^{3}$ and $x^{2}$ .

Factor $x^{2}$ out of $x^{3} \cdot 6$ .

$\frac{x^{2} (x \cdot 6)}{3 (2 x^{2})}$

Cancel the common factors.

Factor $x^{2}$ out of $3 (2 x^{2})$ .

$\frac{x^{2} (x \cdot 6)}{x^{2} (3 \cdot (2))}$

Cancel the common factor.

$\frac{x^{2} (x \cdot 6)}{x^{2} (3 \cdot (2))}$

Rewrite the expression.

$\frac{x \cdot 6}{3 \cdot (2)}$

$\frac{x \cdot 6}{3 \cdot (2)}$

$\frac{x \cdot 6}{3 \cdot (2)}$

Step 5

Cancel the common factor of $6$ and $3$ .

Factor $3$ out of $x \cdot 6$ .

$\frac{3 (x \cdot 2)}{3 \cdot (2)}$

Cancel the common factors.

Factor $3$ out of $3 \cdot (2)$ .

$\frac{3 (x \cdot 2)}{3 (2)}$

Cancel the common factor.

$\frac{3 (x \cdot 2)}{3 \cdot 2}$

Rewrite the expression.

$\frac{x \cdot 2}{2}$

$\frac{x \cdot 2}{2}$

$\frac{x \cdot 2}{2}$

Step 6

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{x \cdot 2}{2}$

Divide $x$ by $1$ .

$x$

$x$

Related Questions