Add the rational expressions. Be sure to express your answer in simplest form. $$\frac { x - 4 } { 6 } + \frac { x + 8 } { 7 }$$
A) $\frac { 36 } { 13 x + 20 }$
B) $\frac { 13 x - 76 } { 42 }$
C) $\frac { 13 x + 20 } { 42 }$
D) $\frac { 13 x - 20 } { 42 }$
E) $\frac { 2 x + 20 } { 13 }$

Question

Quizplus · Accepted Answer

To add the fractions, find a common denominator, which is $6 \times 7 = 42$. Convert each fraction: $\frac{x-4}{6} = \frac{7(x-4)}{42}$ and $\frac{x+8}{7} = \frac{6(x+8)}{42}$. Adding these gives $\frac{7x-28+6x+48}{42} = \frac{13x+20}{42}$.

Add the Rational Expressions x−46+x+87\frac { x - 4 } { 6 } + \frac { x + 8 } { 7 }6x−4​+7x+8​

Add the Rational Expressions $\frac { x - 4 } { 6 } + \frac { x + 8 } { 7 }$