Convert 11.5 to Complex Fraction: Step-by-Step Solution

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

• Step 1: Identify the whole number and decimal part from the given number.
• Step 2: Convert the decimal part into a fraction.
• Step 3: Combine the whole number with the fraction to form a mixed number.

Now, let's work through each step:

Step 1: The number given is 11.5. Here, 11 is the whole number, and 0.5 is the decimal part.

Step 2: Convert the decimal part (0.5) into a fraction. Since 0.5 means five tenths, it can be written as:

$\frac{5}{10}$

Step 3: Combine the whole number with the fraction. Thus, we have:

$11\frac{5}{10}$

This mixed number correctly represents the decimal 11.5 when converted to a fraction, as it combines the integer part with the fractional decimal part translated into a fraction.

Therefore, the solution to the problem is $\mathbf{11\frac{5}{10}}$.