91Ó°ÊÓ

Write each expression in simplest form. If it is already in simplest form, so indicate. Assume that no denominators are 0. SEE EXAMPLE 3. (OBJECTIVE 3) $$\frac{x^{2} y^{3}}{x^{2} y^{4}}$$

Perform the multiplication. Assume that no denominators are \(0 .\) Simplify the answers, if possible. SEE EXAMPLE 3. (OBJECTIVE 1) $$\frac{x-7}{4 x+8} \cdot \frac{x+2}{x^{2}-49}$$

Perform the operations. Simplify answers, if possible. Assume that no denominators are 0. SEE $$\frac{13 y}{32}+\frac{13 y}{32}-\frac{10 y}{32}$$

Simplify each complex fraction. Assume no division by 0. $$\frac{\frac{y}{x}+3 y}{y+\frac{2 y}{x}}$$

Solve. $$\frac{x}{-9.9}=\frac{-7.7}{23.1}$$

Perform the multiplication. Assume that no denominators are \(0 .\) Simplify the answers, if possible. SEE EXAMPLE 3. (OBJECTIVE 1) $$\frac{3 y-12}{y+8} \cdot \frac{y^{2}+8 y}{y-4}$$

Perform the operations. Simplify answers, if possible. Assume that no denominators are 0. SEE $$\frac{3 x+1}{x-2}+\frac{5 x+2}{x-2}-\frac{2 x+1}{x-2}$$

Simplify each complex fraction. Assume no division by 0. $$\frac{1}{\frac{1}{x}+\frac{1}{y}}$$

Write each expression in simplest form. If it is already in simplest form, so indicate. Assume that no denominators are 0. SEE EXAMPLE 3. (OBJECTIVE 3) $$\frac{2 x^{2}}{3 y}$$

Solve each equation and check the solution. Identify any extraneous values. SEE EXAMPLE 4. (OBJECTIVE 2 ). $$\frac{5}{x}+\frac{3}{x+2}=\frac{-6}{x(x+2)}$$