The value of `(3)/(25)` is

Options

A. `1.2`
B. `0.012`
C. `0.12`
D. none of these

Answer

To find the value of \( \frac{3}{25} \) in decimal form, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Fraction**: We start with the fraction \( \frac{3}{25} \).

2. **Convert the Denominator to a Power of 10**: To convert the fraction into decimal form, we need the denominator to be a power of 10 (like 10, 100, 1000, etc.). The denominator here is 25.

3. **Find a Suitable Multiplier**: We can multiply both the numerator and the denominator by a number that will make the denominator a power of 10. In this case, if we multiply both by 4, we can convert 25 into 100 because \( 25 \times 4 = 100 \).

4. **Multiply the Numerator and Denominator**:
\[ \frac{3 \times 4}{25 \times 4} = \frac{12}{100} \]

5. **Convert to Decimal**: Now that we have \( \frac{12}{100} \), we can convert this fraction to decimal. Since the denominator is 100, we can place the decimal point two places from the right in the numerator (12):
\[ 12 \div 100 = 0.12 \]

6. **Final Answer**: Therefore, the value of \( \frac{3}{25} \) is \( 0.12 \).