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\frac{5+1}{2}-\frac{7}{4}
Since \frac{5}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.
\frac{6}{2}-\frac{7}{4}
Add 5 and 1 to get 6.
3-\frac{7}{4}
Divide 6 by 2 to get 3.
\frac{12}{4}-\frac{7}{4}
Convert 3 to fraction \frac{12}{4}.
\frac{12-7}{4}
Since \frac{12}{4} and \frac{7}{4} have the same denominator, subtract them by subtracting their numerators.
\frac{5}{4}
Subtract 7 from 12 to get 5.