`2(1)/( 25)` expressed as a decimal is `"__________"`.

Options

A. 1.25
B. 2.4
C. 2.5
D. 2.04

Answer

To express \(2 \frac{1}{25}\) as a decimal, we can follow these steps:

### Step-by-Step Solution:

1. **Convert the Mixed Number to an Improper Fraction**:
\[ 2 \frac{1}{25} = \frac{(2 \times 25) + 1}{25} = \frac{50 + 1}{25} = \frac{51}{25} \]

2. **Divide the Numerator by the Denominator**:
To convert \(\frac{51}{25}\) into a decimal, we divide 51 by 25.
\[ 51 \div 25 \]

3. **Perform the Division**:
- 25 goes into 51 two times (since \(25 \times 2 = 50\)).
- Subtract 50 from 51 to get a remainder of 1.
- Bring down a zero (making it 10) and divide again.
- 25 goes into 10 zero times (since \(25 \times 0 = 0\)).
- Bring down another zero (making it 100).
- 25 goes into 100 four times (since \(25 \times 4 = 100\)).
- Subtract 100 from 100 to get a remainder of 0.

So, the division gives us:
\[ 51 \div 25 = 2.04 \]

4. **Write the Final Answer**:
Therefore, \(2 \frac{1}{25}\) expressed as a decimal is:
\[ \text{Answer: } 2.04 \]