91Ó°ÊÓ

Express your answer in fractional form. How many \(\frac{3}{4}\) -gallon bottles can be filled from a bucket that holds \(7 \frac{1}{2}\) gallons of water?

In each of the following exercises, perform the indicated operations. Express your answer as a single fraction reduced to lowest terms. $$\frac{4 y}{3 x^{2}}-\frac{3}{2 x}+\frac{y}{x^{2}}$$

In each of the following exercises, perform the indicated operations. Express your answer as a single fraction reduced to lowest terms. $$\frac{1}{6 r t^{2}}-\frac{7}{4 r^{3} t}+\frac{4}{9 r^{2}}$$

Use a calculator to do the computation. Round off to three decimal places where necessary. $$\frac{12}{7} \cdot \frac{5}{8}$$

What is a least common denominator? Why is it needed?