### Home > PC > Chapter 4 > Lesson 4.1.1 > Problem4-11

4-11.

Simplify each of the following expressions into a single reduced fraction.

1. $\frac { \frac { 1 } { 2 } } { \frac { \sqrt { 3 } } { 2 } }$

Multiply the numerator by the reciprocal of the denominator.
Be sure to rationalize the denominator to obtain your final answer.

1. $( \frac { 1 } { x } - x ) ( \frac { 1 } { x + 1 } - 1 )$

Rewrite each factor as a single fraction by making common denominators.

$\left(\frac{1-x^2}{x}\right)\left(\frac{1-x-1}{x+1}\right)$