Convert 13/5 to Mixed Number

Convert the improper fraction 13/5 to a mixed number with step-by-step explanation.

Answer: 13/5 = 2\frac{3}{5}
Step-by-Step Solution
Step 1 Identify the Improper Fraction

We have the improper fraction: 13/5

This is improper because the numerator (13) ≥ the denominator (5).

We can convert this to a mixed number by dividing.

\frac{13}{5} = ?
Step 2 Divide to Find the Whole Number

Divide the numerator by the denominator:

13 ÷ 5 = 2 remainder 3

The quotient (2) is the whole number part

The remainder (3) is the new numerator

13 \div 5 = 2 \text{ R } 3
Step 3 Write the Result

Combining our results:

13/5 = 2 3/5
\frac{13}{5} = 2\frac{3}{5}