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\frac{9}{4}-\frac{8}{4}+\frac{1}{2}
Convert 2 to fraction \frac{8}{4}.
\frac{9-8}{4}+\frac{1}{2}
Since \frac{9}{4} and \frac{8}{4} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{4}+\frac{1}{2}
Subtract 8 from 9 to get 1.
\frac{1}{4}+\frac{2}{4}
Least common multiple of 4 and 2 is 4. Convert \frac{1}{4} and \frac{1}{2} to fractions with denominator 4.
\frac{1+2}{4}
Since \frac{1}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.
\frac{3}{4}
Add 1 and 2 to get 3.