# How do you evaluate \frac { 2} { 7} + ( - \frac { 1} { 2} )?

Jul 2, 2018

$= - \frac{3}{14}$

#### Explanation:

$\setminus \frac{2}{7} + \left(- \setminus \frac{1}{2}\right)$

Remove the bracket:

$= \setminus \frac{2}{7} - \setminus \frac{1}{2}$

Create a common denominator:

$= \setminus \frac{2}{7} \cdot {\underbrace{\frac{2}{2}}}_{= 1} - \setminus \frac{1}{2} \cdot {\underbrace{\frac{7}{7}}}_{= 1}$

$= \frac{4}{14} - \frac{7}{14}$

$= - \frac{3}{14}$

Jul 2, 2018

$- \frac{3}{14}$

#### Explanation:

When we add or subtract fractions, we need a common denominator. Let's get our denominator to be $14$.

We can do this by multiplying $\frac{2}{7}$ by $\frac{2}{2}$, and $- \frac{1}{2}$ by $\frac{7}{7}$. Notice, we're multiplying by $1$, so we didn't change the value of this expression.

We now have

$\frac{4}{14} - \frac{7}{14} = - \frac{3}{14}$

Hope this helps!