Convert 2 1/2 to Improper Fraction

Convert the mixed number 2 1/2 to an improper fraction with step-by-step explanation.

Answer: 2 1/2 = \frac{5}{2}
Step-by-Step Solution
Step 1 Identify the Mixed Number

We have the mixed number: 2 1/2

This means 2 whole units plus 1/2 of another unit.

To convert to an improper fraction, we need to express everything with the same denominator.

2\frac{1}{2} = ?
Step 2 Convert the Whole Number

First, convert the whole number 2 to a fraction with denominator 2.

2 = 2 ร— 2/2 = 4/2
2 = \frac{4}{2}
Step 3 Add the Fractions

Now add the two fractions:

4/2 + 1/2 = 5/2
\frac{4}{2} + \frac{1}{2} = \frac{5}{2}
Step 4 Final Answer

The improper fraction is 5/2

2\frac{1}{2} = \frac{5}{2}