Which of the following is/are correct explanation of `3/7` ?

Options

A.
B.
C.
D.

Answer

To determine which of the given options correctly explains the fraction \( \frac{3}{7} \), we will analyze each option step by step.

### Step 1: Understand the Fraction
The fraction \( \frac{3}{7} \) means that out of a total of 7 equal parts, 3 parts are shaded or selected.

### Step 2: Analyze Each Option

**Option 1:**
- Count the parts in the figure: 1, 2, 3, 4, 5, 6, 7 (Total = 7 parts)
- Count the shaded parts: 1, 2, 3 (Shaded = 3 parts)
- Fraction represented: \( \frac{3}{7} \)

**Conclusion for Option 1:** This option correctly represents \( \frac{3}{7} \).

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**Option 2:**
- Count the parts in the figure: 1, 2, 3, 4, 5, 6, 7, 8 (Total = 8 parts)
- Count the shaded parts: Not specified in the transcript, but let’s assume it’s 3.
- Fraction represented: \( \frac{3}{8} \)

**Conclusion for Option 2:** This option does not represent \( \frac{3}{7} \) since the total parts are 8.

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**Option 3:**
- Count the parts in the figure: 1, 2, 3, 4, 5, 6 (Total = 6 parts)
- Count the shaded parts: 1, 2, 3 (Shaded = 3 parts)
- Fraction represented: \( \frac{3}{6} \)

**Conclusion for Option 3:** This option does not represent \( \frac{3}{7} \) since the total parts are 6.

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**Option 4:**
- Count the parts in the figure: 1, 2, 3, 4, 5, 6 (Total = 6 parts)
- Count the shaded parts: 0 (No shaded parts)
- Fraction represented: \( \frac{0}{6} \) or simply 0.

**Conclusion for Option 4:** This option does not represent \( \frac{3}{7} \).

### Final Conclusion
After analyzing all options, the only option that correctly represents the fraction \( \frac{3}{7} \) is **Option 1**.

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