# How do you simplify \frac { 35} { 49} + ( - \frac { 11} { 7} )?

Sep 25, 2017

Find a common denominator add algebraically and simplify.

#### Explanation:

The common denominator between 49 and 7 is 49

Multiplying by 7/7 will create a common denominator

$\left(- \frac{11}{7}\right) \times \frac{7}{7} = - \frac{77}{49}$

Adding the two fractions with the same denominator

$\frac{35}{49} + - \frac{77}{49} = - \frac{42}{49}$

Dividing both sides by 7 gives

$\frac{- \frac{42}{7}}{\frac{49}{7}} = - \frac{6}{7}$

Sep 25, 2017

color(magenta)(-6/7

#### Explanation:

$\frac{35}{49} + \left(- \frac{11}{7}\right)$

$\therefore = \frac{35}{49} - \frac{11}{7}$

$\therefore = \frac{35 - 77}{49}$

$\therefore = {\left(- \cancel{42}\right)}^{6} / {\cancel{49}}^{7}$

:.color(magenta)(=-6/7