The fraction which is not equal to is

Options

A. `40/50`
B. `12/15`
C. `16/20`
D. `9/15`

Answer

To determine which fraction is not equal to the others, we will simplify each of the given fractions step by step.

### Step-by-Step Solution:

1. **Identify the Fractions**:
The fractions given are:
- Option 1: \( \frac{40}{50} \)
- Option 2: \( \frac{12}{15} \)
- Option 3: \( \frac{16}{20} \)
- Option 4: \( \frac{9}{15} \)

2. **Simplify Option 1: \( \frac{40}{50} \)**:
- Both the numerator (40) and the denominator (50) can be divided by 10.
- \( \frac{40 \div 10}{50 \div 10} = \frac{4}{5} \)

**Hint**: Look for the greatest common divisor (GCD) to simplify the fraction.

3. **Simplify Option 2: \( \frac{12}{15} \)**:
- Both the numerator (12) and the denominator (15) can be divided by 3.
- \( \frac{12 \div 3}{15 \div 3} = \frac{4}{5} \)

**Hint**: Identify common factors to reduce the fraction.

4. **Simplify Option 3: \( \frac{16}{20} \)**:
- Both the numerator (16) and the denominator (20) can be divided by 4.
- \( \frac{16 \div 4}{20 \div 4} = \frac{4}{5} \)

**Hint**: Use division to simplify the fraction to its lowest terms.

5. **Simplify Option 4: \( \frac{9}{15} \)**:
- Both the numerator (9) and the denominator (15) can be divided by 3.
- \( \frac{9 \div 3}{15 \div 3} = \frac{3}{5} \)

**Hint**: Always check if both parts of the fraction can be divided by the same number.

6. **Compare the Results**:
- After simplifying, we have:
- Option 1: \( \frac{4}{5} \)
- Option 2: \( \frac{4}{5} \)
- Option 3: \( \frac{4}{5} \)
- Option 4: \( \frac{3}{5} \)

7. **Conclusion**:
- The fractions \( \frac{4}{5} \) (from options 1, 2, and 3) are equal, while \( \frac{3}{5} \) (from option 4) is different.
- Therefore, the fraction which is not equal to the others is **Option 4: \( \frac{9}{15} \)**.