Answer
$$\frac{3}{2x}-\frac{7}{2x}=-\frac{4}{2x}$$
Explanation
| $$ \begin{aligned}\frac{3}{2x}-\frac{7}{2x}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-\frac{4}{2x}\end{aligned} $$ | |
| ① | Subtract $ \dfrac{7}{2x} $ from $ \dfrac{3}{2x} $ to get $ \dfrac{-4}{2x} $. To subtract expressions with the same denominators, we subtract the numerators and write the result over the common denominator. $$ \begin{aligned} \frac{3}{2x} - \frac{7}{2x} & = \frac{3}{\color{blue}{2x}} - \frac{7}{\color{blue}{2x}} =\frac{ 3 - 7 }{ \color{blue}{ 2x }} = \\[1ex] &= \frac{-4}{2x} \end{aligned} $$ |
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Simplify Rational Expressions