Convert 9/2 to Mixed Number

Convert the improper fraction 9/2 to a mixed number with step-by-step explanation.

Answer: 9/2 = 4\frac{1}{2}
Step-by-Step Solution
Step 1 Identify the Improper Fraction

We have the improper fraction: 9/2

This is improper because the numerator (9) ≥ the denominator (2).

We can convert this to a mixed number by dividing.

\frac{9}{2} = ?
Step 2 Divide to Find the Whole Number

Divide the numerator by the denominator:

9 ÷ 2 = 4 remainder 1

The quotient (4) is the whole number part

The remainder (1) is the new numerator

9 \div 2 = 4 \text{ R } 1
Step 3 Write the Result

Combining our results:

9/2 = 4 1/2
\frac{9}{2} = 4\frac{1}{2}