In which of the following figures does the unshaded portion represents `2/3` ?

Options

A.
B.
C.
D.

Answer

To determine which figure represents the unshaded portion as \( \frac{2}{3} \), we will analyze each option step by step.

### Step 1: Analyze Each Figure
We need to look at each figure provided in the options and count the total parts and the unshaded parts.

#### Option 1:
1. **Count Total Parts**:
- There are 6 total parts.
2. **Count Unshaded Parts**:
- There are 3 unshaded parts.
3. **Fraction of Unshaded Parts**:
- The fraction is \( \frac{3}{6} = \frac{1}{2} \).

#### Option 2:
1. **Count Total Parts**:
- There are 3 total parts.
2. **Count Unshaded Parts**:
- There are 2 unshaded parts.
3. **Fraction of Unshaded Parts**:
- The fraction is \( \frac{2}{3} \).

#### Option 3:
1. **Count Total Parts**:
- There are 4 total parts.
2. **Count Unshaded Parts**:
- There are 1 unshaded part.
3. **Fraction of Unshaded Parts**:
- The fraction is \( \frac{1}{4} \).

#### Option 4:
1. **Count Total Parts**:
- There are 12 total parts.
2. **Count Unshaded Parts**:
- There are 4 unshaded parts.
3. **Fraction of Unshaded Parts**:
- The fraction is \( \frac{4}{12} = \frac{1}{3} \).

### Step 2: Compare the Fractions
Now, we need to compare the fractions calculated for each option:
- Option 1: \( \frac{1}{2} \)
- Option 2: \( \frac{2}{3} \) (this is the one we are looking for)
- Option 3: \( \frac{1}{4} \)
- Option 4: \( \frac{1}{3} \)

### Conclusion
The only option where the unshaded portion represents \( \frac{2}{3} \) is **Option 2**.

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