# How do you evaluate -\frac { 1} { 2} + \frac { 2} { 3} + \frac { 3} { 5}?

Jun 4, 2018

$\frac{23}{30} \mathmr{and} 0.76$

#### Explanation:

As per the question, we have

$- \frac{1}{2} + \frac{2}{3} + \frac{3}{5}$

$= - \frac{1}{2} + \left(\frac{2 \times 5 + 3 \times 3}{3 \times 5}\right)$ ... [ Taking the LCM ]

$= - \frac{1}{2} + \left(\frac{10 + 9}{15}\right)$

$= - \frac{1}{2} + \frac{19}{15}$

$= \frac{19}{15} - \frac{1}{2}$ ... [Rearranging the terms]

$= \left(\frac{19 \times 2 - 1 \times 15}{15 \times 2}\right)$

$= \left(\frac{38 - 15}{30}\right)$

$= \frac{23}{30}$

$= 0.76$