Simplify the algebraic expression by combining similar terms. $\frac { 2 } { 7 } x + \frac { 1 } { 4 } y + \frac { 1 } { 2 } x + \frac { 7 } { 8 } y$
A) $\frac { 11 } { 14 } x + \frac { 8 } { 9 } y$
B) $\frac { 14 } { 23 } ( x + y )$
C) $\frac { 23 } { 14 } x y$
D) $\frac { 11 } { 14 } x + \frac { 9 } { 8 } y$
E) $\frac { 9 } { 8 } x + \frac { 11 } { 14 } y$

Question

Quizplus · Accepted Answer

To simplify the expression, we need to combine the terms with the same variables. 
We have $\frac{2}{7}x$ and $\frac{1}{2}x$, which we can combine to get $\frac{11}{14}x$. 
We also have $\frac{1}{4}y$ and $\frac{7}{8}y$, which we can combine to get $\frac{9}{8}y$. 
Therefore, the simplified expression is $\frac{11}{14}x + \frac{9}{8}y$, which corresponds to choice D.

Simplify the Algebraic Expression by Combining Similar Terms 27x+14y+12x+78y\frac { 2 } { 7 } x + \frac { 1 } { 4 } y + \frac { 1 } { 2 } x + \frac { 7 } { 8 } y72​x+41​y+21​x+87​y

Simplify the Algebraic Expression by Combining Similar Terms $\frac { 2 } { 7 } x + \frac { 1 } { 4 } y + \frac { 1 } { 2 } x + \frac { 7 } { 8 } y$