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\frac{x\times 2x}{4x}+\frac{9}{4x}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 4x is 4x. Multiply \frac{x}{2} times \frac{2x}{2x}.
\frac{x\times 2x+9}{4x}
Since \frac{x\times 2x}{4x} and \frac{9}{4x} have the same denominator, add them by adding their numerators.
\frac{2x^{2}+9}{4x}
Do the multiplications in x\times 2x+9.