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|\frac{5}{2}-\frac{8}{2}|
Convert 4 to fraction \frac{8}{2}.
|\frac{5-8}{2}|
Since \frac{5}{2} and \frac{8}{2} have the same denominator, subtract them by subtracting their numerators.
|-\frac{3}{2}|
Subtract 8 from 5 to get -3.
\frac{3}{2}
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{3}{2} is \frac{3}{2}.