EXPRESS in fraction 1.04 = ?

Options

A. `1 1/5`
B. `1 2/5`
C. `1 1/25`
D. none of these

Answer

To express 1.04 as a fraction, we can follow these steps:

### Step 1: Write the decimal as a fraction
We start by writing 1.04 as a fraction. Since 1.04 has two decimal places, we can express it as:
\[ 1.04 = \frac{1.04}{1} \]

### Step 2: Eliminate the decimal
To eliminate the decimal, we multiply both the numerator and the denominator by 100 (because there are two decimal places):
\[ 1.04 = \frac{1.04 \times 100}{1 \times 100} = \frac{104}{100} \]

### Step 3: Simplify the fraction
Next, we simplify the fraction \(\frac{104}{100}\). We can find the greatest common divisor (GCD) of 104 and 100, which is 4. We divide both the numerator and the denominator by 4:
\[ \frac{104 \div 4}{100 \div 4} = \frac{26}{25} \]

### Step 4: Convert to a mixed number (if needed)
Since \(\frac{26}{25}\) is an improper fraction (the numerator is greater than the denominator), we can convert it to a mixed number. We divide 26 by 25:
- 25 goes into 26 one time (1).
- The remainder is \(26 - 25 = 1\).

Thus, we can express \(\frac{26}{25}\) as:
\[ 1 \frac{1}{25} \]

### Final Answer
Therefore, we can conclude that:
\[ 1.04 = 1 \frac{1}{25} \]

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