91Ó°ÊÓ

Write each fraction as an equivalent fraction with the given denominator. $$ \frac{3}{5}=\frac{ }{100} $$

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. Study Exercise \(67 .\) Without calculating, \(\operatorname{can} \frac{1}{3}\) be the average of \(\frac{1}{2}\) and \(\frac{8}{9}\) ? Explain why or why not.

Solve. Write each fraction in simplest form. There are 152 national monuments in the United States. Twelve of these monuments are located in New Mexico. (Source: National Park Service) a. What fraction of the national monuments in the United States can be found in New Mexico? b. How many of the national monuments in the United States are found outside New Mexico? c. Write the fraction of national monuments found in states other than New Mexico.

Perform each indicated operation. See Examples 1 through 15. $$ \left(\frac{1}{2} \cdot \frac{2}{3}\right) \div \frac{5}{6} $$

Solve. Write each fraction in simplest form. The outer wall of the Pentagon is 24 inches thick. Ten inches is concrete, 8 inches is brick, and 6 inches is limestone. What fraction of the wall is concrete?

Solve. If no equation is given, perform the indicated operation. $$ \frac{x}{3}+2=\frac{x}{2}+8 $$

Write each fraction as an equivalent fraction with the given denominator. $$ \frac{1}{2}=\frac{ }{50} $$

Translate each phrase into an algebraic expression. \(-5 \frac{2}{7}\) decreased by a number

Write each mixed number as an improper fraction. See Example 20. $$2 \frac{1}{3}$$

Translate each phrase into an algebraic expression. The sum of \(8 \frac{3}{4}\) and a number