Converting 13/2 to Decimal: Step-by-Step Fraction Division

To solve this problem, we'll follow this approach:

• Step 1: Identify the given fraction: $\frac{13}{2}$.
• Step 2: Perform long division to convert the fraction into a decimal.
• Step 3: Alternatively, understand it as $\frac{26}{4}$ or by direct interpretation gain conversion into a decimal.

Now, let's work through each step:

Step 1: We have the fraction $\frac{13}{2}$.

Step 2: Divide 13 by 2 using long division:

When you divide 13 by 2, 2 goes into 13 six times (since $6 \times 2 = 12$), leaving a remainder of 1. Bring down the decimal point and continue division. Hence, 10 divided by 2 gives 5. Therefore, the decimal equivalent of $\frac{13}{2}$ is $6.5$.

Step 3: Verification via mixed conversion: Recognizing $\frac{13}{2} = 6 \frac{1}{2} = 6.5$.

Therefore, the solution to convert $\frac{13}{2}$ into a decimal is $\textbf{6.5}$.

Hence, the correct choice among the given options is: \textbf{6.5}