Convert 3 1/2 to Improper Fraction
Convert the mixed number 3 1/2 to an improper fraction with step-by-step explanation.
Answer:
3 1/2 = \frac{7}{2}
Step-by-Step Solution
Step 1
Identify the Mixed Number
We have the mixed number: 3 1/2
This means 3 whole units plus 1/2 of another unit.
To convert to an improper fraction, we need to express everything with the same denominator.
3\frac{1}{2} = ?
Step 2
Convert the Whole Number
First, convert the whole number 3 to a fraction with denominator 2.
3 = 3 × 2/2 = 6/2
3 = \frac{6}{2}
Step 3
Add the Fractions
Now add the two fractions:
6/2 + 1/2 = 7/2
\frac{6}{2} + \frac{1}{2} = \frac{7}{2}
Step 4
Final Answer
The improper fraction is 7/2
3\frac{1}{2} = \frac{7}{2}