Question: User: $\frac{7}{4} - \left(-\frac{1}{2}\right)$
1. **State the problem:** Calculate the value of $$\frac{7}{4} - \left(-\frac{1}{2}\right)$$.
2. **Recall the rule:** Subtracting a negative number is the same as adding its positive counterpart. So,
$$\frac{7}{4} - \left(-\frac{1}{2}\right) = \frac{7}{4} + \frac{1}{2}$$.
3. **Find a common denominator:** The denominators are 4 and 2. The least common denominator (LCD) is 4.
4. **Convert fractions:**
$$\frac{7}{4} + \frac{1}{2} = \frac{7}{4} + \frac{1 \times 2}{2 \times 2} = \frac{7}{4} + \frac{2}{4}$$
5. **Add the fractions:**
$$\frac{7}{4} + \frac{2}{4} = \frac{7 + 2}{4} = \frac{9}{4}$$
6. **Final answer:**
$$\frac{9}{4}$$ or as a mixed number $$2 \frac{1}{4}$$.