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\frac{\beta }{4}+\frac{2}{4}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 2 is 4. Multiply \frac{1}{2} times \frac{2}{2}.
\frac{\beta +2}{4}
Since \frac{\beta }{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.
\frac{\beta +2}{4}
Factor out \frac{1}{4}.