Convert into mixed fraction `1.008 = `?

Options

A. `1 2/25`
B. `1 1/125`
C. `1 2/125`
D. none of these

Answer

To convert the decimal number 1.008 into a mixed fraction, follow these steps:

### Step 1: Identify the Whole Number
The whole number part of 1.008 is **1**.

### Step 2: Separate the Decimal Part
The decimal part is **0.008**.

### Step 3: Convert the Decimal to a Fraction
To convert 0.008 into a fraction:
- Recognize that 0.008 can be written as \( \frac{8}{1000} \).

### Step 4: Simplify the Fraction
Now, simplify \( \frac{8}{1000} \):
- Both the numerator (8) and the denominator (1000) can be divided by 8.
- \( \frac{8 \div 8}{1000 \div 8} = \frac{1}{125} \).

### Step 5: Combine the Whole Number and the Fraction
Now, combine the whole number and the simplified fraction:
- The whole number is 1, and the fraction is \( \frac{1}{125} \).
- Therefore, the mixed fraction is \( 1 \frac{1}{125} \).

### Final Answer
Thus, \( 1.008 \) as a mixed fraction is \( 1 \frac{1}{125} \).

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