# How do you simplify |496/3| + |45/2| + |-9/2| ?

Apr 25, 2017

See the entire solution process below:

#### Explanation:

First, execute the operation for each fraction within the absolute value functions. The absolute value function takes any term and converts it to its positive form:

$\left\mid \frac{496}{3} \right\mid + \left\mid \frac{45}{2} \right\mid + \left\mid \frac{9}{2} \right\mid \implies \frac{496}{3} + \frac{45}{2} + \frac{9}{2}$

Next, we need to put each fraction over a common denominator, $\textcolor{red}{6}$ in this case so we can add the numerators:

$\left(\frac{2}{2} \times \frac{496}{3}\right) + \left(\frac{3}{3} \times \frac{45}{2}\right) + \left(\frac{3}{3} \times \frac{9}{2}\right) \implies$

$\frac{992}{6} + \frac{135}{6} + \frac{27}{6}$

We can now add the numerators:

$\frac{992 + 135 + 27}{6} \implies \frac{1154}{6}$