1. **State the problem:** Simplify the expression $-\frac{3}{5} + -\frac{3}{4} - \frac{7}{10}$.
2. **Find a common denominator:** The denominators are 5, 4, and 10. The least common denominator (LCD) is 20.
3. **Rewrite each fraction with denominator 20:**
$$-\frac{3}{5} = -\frac{3 \times 4}{5 \times 4} = -\frac{12}{20}$$
$$-\frac{3}{4} = -\frac{3 \times 5}{4 \times 5} = -\frac{15}{20}$$
$$-\frac{7}{10} = -\frac{7 \times 2}{10 \times 2} = -\frac{14}{20}$$
4. **Add the fractions:**
$$-\frac{12}{20} + -\frac{15}{20} - \frac{14}{20} = \frac{-12 - 15 - 14}{20} = \frac{-41}{20}$$
5. **Final answer:**
$$-\frac{41}{20}$$
This is an improper fraction and can also be written as a mixed number:
$$-2 \frac{1}{20}$$
Fraction Addition 87F788
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