To convert 6.012 to a fraction, follow these steps:

1. **Write 6.012 as a fraction with 1000 in the denominator** since there are three decimal places:

   \[
   6.012 = \frac{6012}{1000}
   \]

2. **Simplify the fraction**. Find the greatest common divisor (GCD) of 6012 and 1000, which is 4:

   \[
   \frac{6012}{1000} = \frac{6012 \div 4}{1000 \div 4} = \frac{1503}{250}
   \]

So, 6.012 as a simplified fraction is:

\[
6.012 = \frac{1503}{250}
\]

Would you like a deeper explanation or have any questions?

Here are some related questions:

1. How do you convert a decimal with more digits into a fraction?
2. How do you find the GCD of two numbers?
3. Can repeating decimals be written as fractions?
4. How do you simplify fractions with larger numbers?
5. How can we approximate a decimal fraction using simpler denominators?

**Tip:** Always check if a fraction can be simplified by dividing both numerator and denominator by their greatest common divisor (GCD).

Discover how to convert the decimal 6.012 into a simplified fraction. Learn the steps of writing it as a fraction with a denominator of 1000, finding the GCD, and simplifying it to 1503/250. This method applies to similar decimal conversions and simplifies fractions using the GCD.

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