In which of the following figures does the shaded part represents 0.3 ?

Options

A.
B.
C.
D.

Answer

To determine which figure represents a shaded part of 0.3, we can follow these steps:

### Step 1: Identify the Total Parts in Each Figure
- For each figure, count the total number of equal parts (squares, circles, or rectangles) that make up the whole shape.

### Step 2: Count the Shaded Parts
- Next, count how many of those parts are shaded in each figure.

### Step 3: Calculate the Fraction of Shaded Parts
- For each figure, calculate the fraction of the shaded part by using the formula:
\[ \text{Fraction of Shaded Part} = \frac{\text{Number of Shaded Parts}}{\text{Total Parts}} \]

### Step 4: Convert the Fraction to Decimal
- Convert the fraction obtained in Step 3 into a decimal by dividing the numerator by the denominator.

### Step 5: Compare with 0.3
- Finally, compare the decimal value obtained from each figure with 0.3 to determine which figure represents 0.3.

### Example Calculation:
1. **Figure 1**: Total parts = 10, Shaded parts = 3
\[ \text{Fraction} = \frac{3}{10} = 0.3 \]
This figure represents 0.3.

2. **Figure 2**: Total parts = 4, Shaded parts = 1
\[ \text{Fraction} = \frac{1}{4} = 0.25 \]
This does not represent 0.3.

3. **Figure 3**: Total parts = 4, Shaded parts = 1
\[ \text{Fraction} = \frac{1}{4} = 0.25 \]
This does not represent 0.3.

4. **Figure 4**: Total parts = 30, Shaded parts = 12
\[ \text{Fraction} = \frac{12}{30} = 0.4 \]
This does not represent 0.3.

### Conclusion:
The only figure that represents 0.3 is the first figure.

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