Find: `2/(3)+1/(7)`

Answer

To solve the problem \( \frac{2}{3} + \frac{1}{7} \), follow these steps:

### Step 1: Identify the denominators
The denominators of the fractions are 3 and 7.

### Step 2: Find the Least Common Multiple (LCM)
To add the fractions, we need a common denominator. The LCM of 3 and 7 is 21.

### Step 3: Convert each fraction to have the common denominator
Now we will convert each fraction to have the denominator of 21.

- For \( \frac{2}{3} \):
- Multiply both the numerator and the denominator by 7 (because \( 3 \times 7 = 21 \)):
\[ \frac{2 \times 7}{3 \times 7} = \frac{14}{21} \]

- For \( \frac{1}{7} \):
- Multiply both the numerator and the denominator by 3 (because \( 7 \times 3 = 21 \)):
\[ \frac{1 \times 3}{7 \times 3} = \frac{3}{21} \]

### Step 4: Add the fractions
Now that both fractions have the same denominator, we can add them:
\[ \frac{14}{21} + \frac{3}{21} = \frac{14 + 3}{21} = \frac{17}{21} \]

### Final Answer
Thus, \( \frac{2}{3} + \frac{1}{7} = \frac{17}{21} \).

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