Answer
$$\frac{x-4y}{10y}+\frac{x+4}{10y}=\frac{2x-4y+4}{10y}$$
Explanation
| $$ \begin{aligned}\frac{x-4y}{10y}+\frac{x+4}{10y}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{2x-4y+4}{10y}\end{aligned} $$ | |
| ① | Add $ \dfrac{x-4y}{10y} $ and $ \dfrac{x+4}{10y} $ to get $ \dfrac{2x-4y+4}{10y} $. To add expressions with the same denominators, we add the numerators and write the result over the common denominator. $$ \begin{aligned} \frac{x-4y}{10y} + \frac{x+4}{10y} & = \frac{x-4y}{\color{blue}{10y}} + \frac{x+4}{\color{blue}{10y}} =\frac{ x-4y + \left( x+4 \right) }{ \color{blue}{ 10y }} = \\[1ex] &= \frac{2x-4y+4}{10y} \end{aligned} $$ |
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Simplify Rational Expressions