# How do you evaluate \frac { 1} { 2} + ( - \frac { 13} { 8} )?

Feb 3, 2017

$\frac{1}{2} + \left(- \frac{13}{8}\right)$ simplifies to $- \frac{9}{8}$, or may be expressed as $- 1 \frac{1}{8}$

#### Explanation:

Start by reducing the number of signs in the expression:

$\frac{1}{2} + \left(- \frac{13}{8}\right) = \frac{1}{2} - \frac{13}{8}$

Then find the LCD and convert all the terms to have the common denominator:

$\frac{1}{2} - \frac{13}{8} = \frac{4}{8} - \frac{13}{8}$

$\frac{4 - 13}{8} = - \frac{9}{8}$
$= - 1 \frac{1}{8}$