Simplify the expression 2(1)/(2) + 1(1)/(4) - 1(1)/(2)

$$2\frac{1}{2} = \frac{(2 \times 2) + 1}{2} = \frac{5}{2}$$ $$1\frac{1}{4} = \frac{(1 \times 4) + 1}{4} = \frac{5}{4}$$ $$1\frac{1}{2} = \frac{(1 \times 2) + 1}{2} = \frac{3}{2}$$

The least common multiple (LCM) of 2 and 4 is 4.
Convert all fractions to have a denominator of 4:

$$\frac{5}{2} = \frac{5 \times 2}{2 \times 2} = \frac{10}{4}$$ $$\frac{3}{2} = \frac{3 \times 2}{2 \times 2} = \frac{6}{4}$$

$$\frac{10}{4} + \frac{5}{4} - \frac{6}{4} = \frac{10 + 5 - 6}{4}$$ $$= \frac{15 - 6}{4}$$ $$= \frac{9}{4}$$

$$\frac{9}{4} = 2\frac{1}{4}$$

The simplified expression is $2\frac{1}{4}$.