# How do you evaluate -5- - 4\frac { 1} { 4} + 3\frac { 1} { 4} + - 6?

Jul 10, 2018

$- 3 \frac{1}{2}$

#### Explanation:

Let's simplify the addition / subtraction signs first. Here's a simple rule,

$- 5 - - 4 \frac{1}{4} + 3 \frac{1}{4} + - 6$
=$- 5 \textcolor{red}{+} 4 \frac{1}{4} + 3 \frac{1}{4} \textcolor{red}{-} 6$

Next step is to convert all number to improper fractions to make adding and subtracting easy. We'll keep 4 as the denominator (number at the bottom).

=$- \frac{20}{4} + \frac{17}{4} + \frac{13}{4} - \frac{24}{4}$

=$\frac{- 20 + 17 + 13 - 24}{4}$

=$- \frac{14}{4}$

=$- 3 \frac{2}{4}$ (convert to mixed fraction)

=$- 3 \frac{1}{2}$ (simplify 2/4 to 1/2)