91Ó°ÊÓ

Write each rational expression in simplest form and list the values of the variables for which the fraction is undefined. \(\frac{6}{10}\)

Solve each proportion for the variable. \(\frac{x}{8}=\frac{6}{24}\)

In \(3-12,\) multiply and express each product in simplest form. In each case, list any values of the variables for which the fractions are not defined. $$ \frac{2 a+4}{6 a} \cdot \frac{3 a^{2}}{a^{2}+2 a} $$

Simplify each complex rational expression. In each case, list any values of the variables for which the fractions are not defined. \(\frac{3-\frac{3}{b}}{b-1}\)

In \(3-20,\) solve each equation and check. $$ \frac{x}{x+5}=\frac{2}{3} $$

Simplify each complex rational expression. In each case, list any values of the variables for which the fractions are not defined. \(\frac{y+\frac{1}{2}}{2 y+1}\)

In \(3-14,\) solve and check each inequality. $$ \frac{2}{x}+\frac{3}{x}<10 $$

In \(8-12,\) write each rational number as a repeating decimal. $$ \frac{7}{8} $$

In \(3-20\) , perform the indicated additions or subtractions and write the result in simplest form. In each case, list any values of the variables for which the fractions are not defined. $$ 5-\frac{1}{2 y} $$

In \(3-12,\) multiply and express each product in simplest form. In each case, list any values of the variables for which the fractions are not defined. $$ \frac{6-2 x}{x^{2}-9} \cdot \frac{15+5 x}{4 x} $$