Question: User: $\left(-\frac{3}{4}\right)\left(\frac{2}{3}\right)\left(-\frac{1}{5}\right)$
1. **State the problem:** Multiply the three fractions $\left(-\frac{3}{4}\right)$, $\left(\frac{2}{3}\right)$, and $\left(-\frac{1}{5}\right)$.
2. **Recall the rule for multiplying fractions:** Multiply the numerators together and multiply the denominators together. Also, multiply the signs: negative times positive times negative.
3. **Multiply the numerators:**
$$-3 \times 2 \times -1 = (-3 \times 2) \times -1 = -6 \times -1 = 6$$
4. **Multiply the denominators:**
$$4 \times 3 \times 5 = 12 \times 5 = 60$$
5. **Combine the results:**
$$\frac{6}{60}$$
6. **Simplify the fraction:**
Divide numerator and denominator by their greatest common divisor, which is 6:
$$\frac{\cancel{6}^1}{\cancel{60}^ {10}} = \frac{1}{10}$$
7. **Final answer:**
$$\boxed{\frac{1}{10}}$$