Find the sum of `(-3)/(4) and (3)/(4)` and represent it on number line.

Options

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Answer

To find the sum of \(-\frac{3}{4}\) and \(\frac{3}{4}\) and represent it on a number line, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Rational Numbers**: We have two rational numbers: \(-\frac{3}{4}\) and \(\frac{3}{4}\).

2. **Add the Rational Numbers**: Since both fractions have the same denominator, we can add them directly:
\[ -\frac{3}{4} + \frac{3}{4} = \frac{-3 + 3}{4} \]

3. **Simplify the Numerator**: Now, simplify the numerator:
\[ -3 + 3 = 0 \]
Therefore, we have:
\[ \frac{0}{4} = 0 \]

4. **Conclusion of the Sum**: The sum of \(-\frac{3}{4}\) and \(\frac{3}{4}\) is \(0\).

5. **Represent on Number Line**: To represent this on a number line:
- Draw a horizontal line.
- Mark a point for \(0\).
- You can also mark points for \(-1\), \(1\), and other integers for reference.
- Since the sum is \(0\), you will place a point at \(0\) on the number line.

### Final Answer:
The sum of \(-\frac{3}{4}\) and \(\frac{3}{4}\) is \(0\), and it is represented at the point \(0\) on the number line.

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