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\frac{1}{2}+\frac{2}{x}
Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.
\frac{x}{2x}+\frac{2\times 2}{2x}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and x is 2x. Multiply \frac{1}{2} times \frac{x}{x}. Multiply \frac{2}{x} times \frac{2}{2}.
\frac{x+2\times 2}{2x}
Since \frac{x}{2x} and \frac{2\times 2}{2x} have the same denominator, add them by adding their numerators.
\frac{x+4}{2x}
Do the multiplications in x+2\times 2.