Add the rational expressions. Be sure to express your answer in simplest form. $\frac { x - 5 } { 6 } + \frac { x + 7 } { 7 }$
A) $\frac { 36 } { 13 x + 7 }$
B) $\frac { 13 x - 77 } { 42 }$
C) $\frac { 13 x + 7 } { 42 }$
D) $\frac { 13 x - 7 } { 42 }$
E) $\frac { 2 x + 7 } { 13 }$

Question

Quizplus · Accepted Answer

To add the rational expressions, find a common denominator, which is 42. Rewrite each fraction with this common denominator: $\frac{7(x - 5)}{42} + \frac{6(x + 7)}{42}$. Simplify the numerators: $7x - 35 + 6x + 42 = 13x + 7$. The result is $\frac{13x + 7}{42}$.

Add the Rational Expressions x−56+x+77\frac { x - 5 } { 6 } + \frac { x + 7 } { 7 }6x−5​+7x+7​

Add the Rational Expressions $\frac { x - 5 } { 6 } + \frac { x + 7 } { 7 }$