  ### Home > AC > Chapter 10 > Lesson 10.1.1 > Problem10-11

10-11.

In Lesson 10.1.2 you will focus on multiplying and dividing rational expressions. Recall what you learned about multiplying and dividing fractions in a previous course as you answer the questions below. To help you, the following examples have been provided.

$\begin{array}{c} { \frac { 9 } { 16 } \cdot \frac { 4 } { 6 } = \frac { 36 } { 96 } = \frac { 3 } { 8 } }\\ { \frac { 5 } { 6 } \div \frac { 20 } { 12 } = \frac { 5 } { 6 } \cdot \frac { 12 } { 20 } = \frac { 60 } { 120 } = \frac { 1 } { 2 } }\end{array}$

1. Without a calculator, multiply $\frac{2}{3}\cdot\frac{9}{14}$ and reduce the result. Then use a calculator to check your answer. Describe your method for multiplying fractions.

After multiplying all numbers in the numerator and the denominator, look for factors that simplify to one.

2. Without a calculator, divide $\frac{3}{5}\div\frac{12}{25}$and reduce the result. Then use a calculator to check your answer. Describe your method for dividing fractions.

$\frac{3}{5}\left(\frac{25}{12}\right)$

Rewrite the expression as a product.

$\frac{75}{60}$

Multiply the numerators and the denominators to find their product.

$\frac{5}{4}$