Answer
$\displaystyle \frac{7+8x}{2x^{2}}$
Work Step by Step
1. Find the LCD .
1st denominator = $2\times x\times x$
2nd denominator = $x$
LCD = $2x^{2}$
2. Rewrite each rational expression with the the LCDas the denominator
$\displaystyle \frac{7}{2x^{2}}+\frac{4}{x}\cdot\frac{2x}{2x}= \displaystyle \frac{7}{2x^{2}}+\frac{8x}{2x^{2}}$
3. Add or subtract numerators, placing the resulting expression over the LCD.
$= \displaystyle \frac{7+8x}{2x^{2}}$
4. If possible, simplify.
... nothing to simplify
