Perform the operations and simplify the result when possible. $\frac { a + b } { 2 } + \frac { a - b } { 7 }$
A) $\frac { 2 ( 9 a + 5 b ) } { 9 }$
B) $\frac { 5 a - 9 b } { 7 }$
C) $\frac { 9 a + 5 b } { 14 }$
D) $\frac { 9 a + 5 b } { 9 }$
E) $\frac { 9 a + b } { 7 }$

Question

Quizplus · Accepted Answer

To simplify the expression, find a common denominator, which is 14, and then combine the fractions: $\frac{7(a+b) + 2(a-b)}{14} = \frac{9a + 5b}{14}$.

Perform the Operations and Simplify the Result When Possible a+b2+a−b7\frac { a + b } { 2 } + \frac { a - b } { 7 }2a+b​+7a−b​

Perform the Operations and Simplify the Result When Possible $\frac { a + b } { 2 } + \frac { a - b } { 7 }$