1. **State the problem:** Add the fractions $\frac{20}{20}$, $\frac{34}{35}$, $\frac{2}{2}$, and $\frac{2}{2}$. 2. **Recall the rule for adding fractions:** To add fractions, they must have a common denominator. If denominators differ, find the least common denominator (LCD), convert each fraction, then add the numerators. 3. **Simplify fractions where possible:** $\frac{20}{20} = 1$ because numerator equals denominator. $\frac{2}{2} = 1$ for the same reason. 4. **Rewrite the sum:** $$1 + \frac{34}{35} + 1 + 1 = 3 + \frac{34}{35}$$ 5. **Convert 3 to a fraction with denominator 35:** $$3 = \frac{3 \times 35}{35} = \frac{105}{35}$$ 6. **Add the fractions:** $$\frac{105}{35} + \frac{34}{35} = \frac{105 + 34}{35} = \frac{139}{35}$$ 7. **Final answer:** $$\boxed{\frac{139}{35}}$$ This is an improper fraction and can also be written as a mixed number: $$\frac{139}{35} = 3 \frac{34}{35}$$