Convert 4 1/2 to Improper Fraction
Convert the mixed number 4 1/2 to an improper fraction with step-by-step explanation.
Answer:
4 1/2 = \frac{9}{2}
Step-by-Step Solution
Step 1
Identify the Mixed Number
We have the mixed number: 4 1/2
This means 4 whole units plus 1/2 of another unit.
To convert to an improper fraction, we need to express everything with the same denominator.
4\frac{1}{2} = ?
Step 2
Convert the Whole Number
First, convert the whole number 4 to a fraction with denominator 2.
4 = 4 × 2/2 = 8/2
4 = \frac{8}{2}
Step 3
Add the Fractions
Now add the two fractions:
8/2 + 1/2 = 9/2
\frac{8}{2} + \frac{1}{2} = \frac{9}{2}
Step 4
Final Answer
The improper fraction is 9/2
4\frac{1}{2} = \frac{9}{2}