Convert 13/4 to Mixed Number

Convert the improper fraction 13/4 to a mixed number with step-by-step explanation.

Answer: 13/4 = 3\frac{1}{4}
Step-by-Step Solution
Step 1 Identify the Improper Fraction

We have the improper fraction: 13/4

This is improper because the numerator (13) ≥ the denominator (4).

We can convert this to a mixed number by dividing.

\frac{13}{4} = ?
Step 2 Divide to Find the Whole Number

Divide the numerator by the denominator:

13 ÷ 4 = 3 remainder 1

The quotient (3) is the whole number part

The remainder (1) is the new numerator

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

Combining our results:

13/4 = 3 1/4
\frac{13}{4} = 3\frac{1}{4}