Convert ` (6)/(25)` into a decimal fraction.

Options

A. 0.024
B. 2.4
C. 0.24
D. None of these

Answer

To convert the fraction \( \frac{6}{25} \) into a decimal fraction, follow these steps:

### Step-by-Step Solution:

1. **Multiply the numerator and denominator by 2**:
\[ \frac{6 \times 2}{25 \times 2} = \frac{12}{50} \]

2. **Set up the division**:
Now, we need to divide 12 by 50. Since 12 is less than 50, we will add a decimal point and a zero to 12, making it 120.

3. **Perform the division**:
- 50 goes into 120 two times (because \( 50 \times 2 = 100 \)).
- Write down 2 after the decimal point.
- Subtract 100 from 120:
\[ 120 - 100 = 20 \]

4. **Bring down another zero**:
Now we have 20. We can bring down another zero, making it 200.

5. **Continue the division**:
- 50 goes into 200 four times (because \( 50 \times 4 = 200 \)).
- Write down 4 after the 2.
- Subtract 200 from 200:
\[ 200 - 200 = 0 \]

6. **Conclusion**:
Since there is no remainder, the division is complete. Therefore, the decimal equivalent of \( \frac{6}{25} \) is:
\[ 0.24 \]

### Final Answer:
The decimal fraction of \( \frac{6}{25} \) is \( 0.24 \).