Convert the following decimals into fractions.
120.04

Answer

To convert the decimal 120.04 into a fraction, follow these steps:

### Step-by-Step Solution:

1. **Identify the Decimal**: We have the decimal number 120.04.

2. **Count the Decimal Places**: The decimal point is located after two digits (04). This means we will multiply by 100 to eliminate the decimal.

3. **Multiply by 100**:
\[ 120.04 \times 100 = 12004 \]

4. **Set Up the Fraction**: Since we multiplied by 100 to eliminate the decimal, we will divide by 100 as well. Therefore, we can write:
\[ 120.04 = \frac{12004}{100} \]

5. **Simplify the Fraction**: Now, we need to simplify the fraction \(\frac{12004}{100}\). To do this, we find the greatest common divisor (GCD) of 12004 and 100.

- The GCD of 12004 and 100 is 4.
- Now, divide both the numerator and the denominator by their GCD:
\[ \frac{12004 \div 4}{100 \div 4} = \frac{3001}{25} \]

6. **Final Answer**: Thus, the decimal 120.04 can be expressed as the fraction:
\[ \frac{3001}{25} \]