Question

write each quotient as a rational expression and simplify

1. 7 divided by 3/5

2. - 8/7 divided by - 4/3

3. 3ab/4cd divided by 9a/8d

Answer 1

\[\frac{7}{\frac{3}{5}}=7\times \frac{5}{3}=\frac{35}{3}\]
\[\frac{-\frac{8}{7}}{-\frac{4}{3}}=\frac{8}{7}\times \frac{3}{4}=\frac{6}{7}\]

Answer 2

and finally
\[\frac{3ab}{4bc}\div \frac{9a}{8d}=\frac{3ab}{4bc}\times\frac{8d}{9a}=\frac{2d}{c}\]

Answer 3

Thank you.