Convert the following decimals into fractions.
15.012

Answer

To convert the decimal 15.012 into a fraction, follow these steps:

### Step 1: Identify the decimal
The decimal we need to convert is 15.012.

### Step 2: Write the decimal as a fraction
To convert a decimal to a fraction, we can express it as follows:
\[ 15.012 = \frac{15012}{1000} \]
Here, we move the decimal point three places to the right (since there are three digits after the decimal), which means we multiply by \(10^3\) (or 1000) to eliminate the decimal.

### Step 3: Simplify the fraction
Now, we need to simplify the fraction \(\frac{15012}{1000}\).

1. **Find the greatest common divisor (GCD)** of the numerator and the denominator. In this case, we can divide both by 4:
- \(15012 \div 4 = 3753\)
- \(1000 \div 4 = 250\)

So, we can rewrite the fraction as:
\[ \frac{15012}{1000} = \frac{3753}{250} \]

### Step 4: Final fraction
The simplest form of the fraction representing the decimal 15.012 is:
\[ \frac{3753}{250} \]