Convert 7/2 to Mixed Number

Convert the improper fraction 7/2 to a mixed number with step-by-step explanation.

Answer: 7/2 = 3\frac{1}{2}
Step-by-Step Solution
Step 1 Identify the Improper Fraction

We have the improper fraction: 7/2

This is improper because the numerator (7) ≥ the denominator (2).

We can convert this to a mixed number by dividing.

\frac{7}{2} = ?
Step 2 Divide to Find the Whole Number

Divide the numerator by the denominator:

7 ÷ 2 = 3 remainder 1

The quotient (3) is the whole number part

The remainder (1) is the new numerator

7 \div 2 = 3 \text{ R } 1
Step 3 Write the Result

Combining our results:

7/2 = 3 1/2
\frac{7}{2} = 3\frac{1}{2}