Question

Solve 1/7 + 1/2 in the box below. Show all you steps

Answer 1

To solve the expression \( \frac{1}{7} + \frac{1}{2} \), we need to find a common denominator and then add the fractions. Here are the steps:

1. **Find the least common denominator (LCD)**:
The denominators are 7 and 2. The least common denominator of 7 and 2 is 14.

2. **Convert each fraction to have the LCD**:
- For \( \frac{1}{7} \):
To convert it to a denominator of 14, we multiply both the numerator and denominator by 2:
\[
\frac{1 \cdot 2}{7 \cdot 2} = \frac{2}{14}
\]

- For \( \frac{1}{2} \):
To convert it to a denominator of 14, we multiply both the numerator and denominator by 7:
\[
\frac{1 \cdot 7}{2 \cdot 7} = \frac{7}{14}
\]

3. **Add the new fractions**:
Now we can add \( \frac{2}{14} \) and \( \frac{7}{14} \):
\[
\frac{2}{14} + \frac{7}{14} = \frac{2 + 7}{14} = \frac{9}{14}
\]

4. **Final answer**:
Hence, \( \frac{1}{7} + \frac{1}{2} = \frac{9}{14} \).

So the result is:
\[
\frac{9}{14}
\]