Question: Return the original user prompt in the "prompt" field. Wrap every mathematical expression, number used in a calculation, equation, fraction, variable, or formula in $...$ for inline math or $$...$$ for display math.
User: $\frac{-1}{5} + \frac{7}{4}$
1. **State the problem:** We need to calculate the sum of the fractions $\frac{-1}{5}$ and $\frac{7}{4}$.
2. **Find a common denominator:** The denominators are $5$ and $4$. The least common denominator (LCD) is $20$.
3. **Convert each fraction to have the LCD:**
$$\frac{-1}{5} = \frac{-1 \times 4}{5 \times 4} = \frac{-4}{20}$$
$$\frac{7}{4} = \frac{7 \times 5}{4 \times 5} = \frac{35}{20}$$
4. **Add the fractions:**
$$\frac{-4}{20} + \frac{35}{20} = \frac{-4 + 35}{20} = \frac{31}{20}$$
5. **Simplify if possible:** $\frac{31}{20}$ is already in simplest form.
6. **Final answer:**
$$\boxed{\frac{31}{20}}$$