3. $$ \frac{5}{8}+2 \frac{11}{12} $$

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To add the fractions $$ \frac{5}{8} $$ and $$ 2 \frac{11}{12} $$, follow these steps:

1. **Convert the Mixed Number to an Improper Fraction:**
   $$
   2 \frac{11}{12} = \frac{2 \times 12 + 11}{12} = \frac{24 + 11}{12} = \frac{35}{12}
   $$

2. **Find a Common Denominator:**
   The denominators are 8 and 12. The least common multiple (LCM) of 8 and 12 is 24.

3. **Convert Both Fractions to Have the Common Denominator:**
   $$
   \frac{5}{8} = \frac{5 \times 3}{8 \times 3} = \frac{15}{24}
   $$
   $$
   \frac{35}{12} = \frac{35 \times 2}{12 \times 2} = \frac{70}{24}
   $$

4. **Add the Fractions:**
   $$
   \frac{15}{24} + \frac{70}{24} = \frac{85}{24}
   $$

5. **Convert the Improper Fraction to a Mixed Number:**
   $$
   \frac{85}{24} = 3 \frac{13}{24}
   $$
   (Since $$ 24 \times 3 = 72 $$ and $$ 85 - 72 = 13 $$).

**Final Answer:**
$$
3 \frac{13}{24}
$$
The sum of $$ \frac{5}{8} $$ and $$ 2 \frac{11}{12} $$ is $$ 3 \frac{13}{24} $$.

3. \( \frac{5}{8}+2 \frac{11}{12} \)

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