91Ó°ÊÓ

$$ -\frac{5}{6} \quad-\frac{13}{15} $$

Perform each indicated operation. $$ \begin{array}{r} 6 \frac{2}{11} \\ 3 \\ +4 \frac{10}{33} \\ \hline \end{array} $$

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. Two positive numbers, \(a\) and \(b\), are graphed below. Where should the graph of their average lie?

Solve. Write each fraction in simplest form. Sixteen out of the total fifty states in the United States have Ritz-Carlton hotels. (Source: RitzCarlton Hotel Company, LLC) a. What fraction of states can claim at least one Ritz-Carlton hotel? b. How many states do not have a Ritz-Carlton hotel? c. Write the fraction of states without a RitzCarlton hotel.

Write each fraction as an equivalent fraction with the given denominator. $$ \frac{4}{7}=\frac{ }{35} $$

Simplify by dividing. See Examples 14 through 19. $$\frac{3}{1}$$

Simplify by dividing. See Examples 14 through 19. $$\frac{5}{5}$$

Solve. If no equation is given, perform the indicated operation. $$ \frac{a}{6}=\frac{a}{3}+\frac{1}{2} $$

Perform each indicated operation. $$ \begin{array}{r} 7 \frac{3}{7} \\ 15 \\ +20 \frac{1}{2} \\ \hline \end{array} $$

Perform each indicated operation. See Examples 1 through 15. $$ \frac{a c}{b} \cdot \frac{b^{3}}{a^{2} c} $$