### 10.3 Dividing Rational Expressions

Problem #

Problem Statement

Problems Similar To

1.

Simplify the quotient.

$$\frac{\frac{2x}{7}}{\frac{16x}{63}}$$

2.

Simplify the quotient.

$$\frac{\frac{3(3+x)}{6x}}{\frac{x+3}{x}}$$

3.

Simplify the quotient.

$$\frac{\frac{9x+1}{7x+1}}{\frac{5x+1}{9x+1}}$$

4.

Simplify the quotient.

$$\frac{\frac{x^{2}+14x+49}{x+8}}{\frac{x+7}{x^{2}+16x+64}}$$

5.

Simplify the quotient.

$$\frac{9(3x^{3}+6x^{2}+7x)}{9x}$$

6.

Simplify the quotient.

$$\frac{4x^{2}+28+32x}{x+7}$$

7.

Simplify the quotient.

$$\frac{3(3x^{2}+27x+42)}{x+7}$$

8.

Simplify the quotient.

$$\frac{\frac{54}{5x^{3}}}{\frac{6}{15x^{2}}}$$

9.

Simplify the quotient.

$$\frac{\frac{10(x+8)}{6}}{\frac{80(x+8)}{18}}$$

10.

Simplify the quotient.

$$\frac{\frac{x+9}{3(x+2)}}{\frac{x^{2}+63+16x}{x+2}}$$

11.

Simplify the quotient.

$$\frac{\frac{5(x+6)}{x^{2}-36}}{\frac{40x^{2}}{5(x^{2}-6x)}}$$

12.

Simplify the quotient.

$$\frac{\frac{10x^{2}y^{2}}{7xy^{5}}}{\frac{20x^{2}y}{49x}}$$

13.

Simplify the quotient.

$$\frac{\frac{4(x^{2}+6x)}{x^{2}+6x+9}}{\frac{x^{2}+15x+54}{8(x+3)}}$$