To solve the expression:

$\frac{2}{7} + \frac{3}{14} + \frac{3}{7}$

Step 1: Find the least common denominator (LCD)

The denominators are 7 and 14. The LCD of 7 and 14 is 14.

Step 2: Rewrite fractions with the LCD

• $\frac{2}{7}$ can be rewritten as $\frac{4}{14}$ (because $2 \times 2 = 4$).
• $\frac{3}{14}$ remains as it is.
• $\frac{3}{7}$ can be rewritten as $\frac{6}{14}$ (because $3 \times 2 = 6$).

Now, the expression is:

$\frac{4}{14} + \frac{3}{14} + \frac{6}{14}$

Step 3: Add the numerators

$\frac{4 + 3 + 6}{14} = \frac{13}{14}$

Final Answer:

$\frac{13}{14}$

Would you like more details or have any questions about this solution?

Here are some related questions for practice:

1. Simplify $\frac{5}{8} + \frac{7}{12} + \frac{3}{4}$.
2. Find the sum of $\frac{7}{9} + \frac{2}{3}$.
3. Subtract $\frac{5}{6} - \frac{3}{4}$.
4. Add $\frac{1}{3} + \frac{5}{6} + \frac{7}{9}$.
5. Solve $\frac{1}{2} + \frac{3}{5} + \frac{4}{7}$.

Tip: Always find the least common denominator when adding or subtracting fractions with different denominators.