91Ó°ÊÓ

Recall that to find the average of two numbers, we find their sum and divide by \(2 .\) For example, the average of \(\frac{1}{2}\) and \(\frac{3}{4}\) is \(\frac{\frac{1}{2}+\frac{3}{4}}{2}\). Find the average of each pair of numbers. $$\frac{3}{5}, \frac{9}{10}$$

$$ \frac{9 x}{10}-\frac{1}{2}+\frac{x}{5} $$

Solve. Write each fraction in simplest form. Two thousand baseball caps were sold one year at the U.S. Open Golf Tournament. What fractional part of this total do 200 caps represent?

Find the \(L C D\) of each list of fractions. $$ \frac{12}{11}, \frac{20}{33}, \frac{12}{121} $$

Simplify by dividing. See Examples 14 through 19. $$\frac{-14}{-14}$$

Solve. If no equation is given, perform the indicated operation. $$ \frac{7}{6} x=\frac{1}{4}-\frac{2}{3} $$

Perform each indicated operation. $$ 4 \frac{2}{7} \cdot 1 \frac{3}{10} $$

Insert \(<\) or \(>\) to form a true sentence $$ \frac{2}{7} \quad \frac{3}{10} $$

Perform each indicated operation. See Examples 1 through 15. $$ \frac{a^{3}}{2} \div 30 a^{3} $$

Solve. Write each fraction in simplest form. There are 5280 feet in a mile. What fraction of mile is represented by 2640 feet?