Express in decimal form `2 2/25=?`

Options

A. 2.8
B. 2.8
C. 2.008
D. none of these

Answer

To express the mixed fraction \(2 \frac{2}{25}\) in decimal form, we can follow these steps:

### Step 1: Convert the mixed fraction to an improper fraction
A mixed fraction consists of a whole number and a fraction. To convert it to an improper fraction, we multiply the whole number by the denominator and add the numerator.

For \(2 \frac{2}{25}\):
- Whole number = 2
- Numerator = 2
- Denominator = 25

The formula for converting is:
\[ \text{Improper Fraction} = \frac{(Whole \, Number \times Denominator) + Numerator}{Denominator} \]
So, we calculate:
\[ \frac{(2 \times 25) + 2}{25} = \frac{50 + 2}{25} = \frac{52}{25} \]

### Step 2: Divide the numerator by the denominator
Now, we need to divide the numerator (52) by the denominator (25) to convert the improper fraction to decimal form.

Perform the division:
\[ 52 \div 25 = 2.08 \]

### Step 3: Combine the whole number with the decimal
Since we have already converted the mixed fraction to an improper fraction and then to a decimal, the final result is:
\[ 2 \frac{2}{25} = 2.08 \]

### Final Answer
Thus, the decimal form of \(2 \frac{2}{25}\) is \(2.08\).

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