Solve Mixed Number Multiplication: 2 × 2½

To solve the problem $2 \times 2\frac{1}{2}$, we will approach it step by step:

• Step 1: Convert the mixed number $2\frac{1}{2}$ to an improper fraction.
• Step 2: Multiply the improper fraction by the integer $2$.
• Step 3: Simplify the result if necessary.

Let's execute these steps:

Step 1: Convert $2\frac{1}{2}$ to an improper fraction:
The denominator is $2$. Multiply the whole number part, $2$, by the denominator, $2$, and add the numerator, $1$:

$2 \times 2 + 1 = 5$

So, the improper fraction is $\frac{5}{2}$.

Step 2: Multiply $\frac{5}{2}$ by $2$:

$2 \times \frac{5}{2} = \frac{2 \times 5}{2} = \frac{10}{2}$

Step 3: Simplify $\frac{10}{2}$:

$\frac{10}{2} = 5$

Therefore, the solution to the problem is $5$.