Express 6.12 in Different Mathematical Forms: Decimal Analysis

To solve this problem, we'll follow these steps:

• Step 1: Convert the decimal $0.12$ to a fraction with $100$ as the denominator.
• Step 2: Simplify the resulting fraction $\frac{12}{100}$.
• Step 3: Combine this simplified fraction with the whole number $6$ to form a mixed number.

Now, let's work through each step:

Step 1: The decimal $0.12$ is equivalent to the fraction $\frac{12}{100}$. We recognize this because the decimal is read as twelve hundredths.
Step 2: Simplify $\frac{12}{100}$. Find the greatest common divisor (GCD) of 12 and 100, which is 4. Divide both the numerator and the denominator by 4:
$\frac{12 \div 4}{100 \div 4} = \frac{3}{25}$.
Step 3: Combine $\frac{3}{25}$ with the whole number 6 to form the mixed number $6\frac{3}{25}$.

Therefore, the solution to the problem is $6\frac{3}{25}$.