Convert 9/4 to Mixed Number

Convert the improper fraction 9/4 to a mixed number with step-by-step explanation.

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

We have the improper fraction: 9/4

This is improper because the numerator (9) ≥ the denominator (4).

We can convert this to a mixed number by dividing.

\frac{9}{4} = ?
Step 2 Divide to Find the Whole Number

Divide the numerator by the denominator:

9 ÷ 4 = 2 remainder 1

The quotient (2) is the whole number part

The remainder (1) is the new numerator

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

Combining our results:

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