Worksheet 2 for practicing adding fractions with various denominators.

Explanation:
We are adding two fractions. To add fractions, we need a common denominator.

Problem 1:
$\frac{2}{3} + \frac{1}{7}$

Step 1: Find the least common denominator (LCD) of 3 and 7.
Since 3 and 7 are both prime, LCD = $3 \times 7 = 21$.

Step 2: Convert each fraction to have denominator 21.
$\frac{2}{3} = \frac{2 \times 7}{3 \times 7} = \frac{14}{21}$
$\frac{1}{7} = \frac{1 \times 3}{7 \times 3} = \frac{3}{21}$

Step 3: Add the numerators:
$\frac{14}{21} + \frac{3}{21} = \frac{17}{21}$

Step 4: Check if it can be simplified.
17 is prime, and 21 = 3 × 7 — no common factors. So $\frac{17}{21}$ is already simplified.

Final Answer:
$\frac{17}{21}$