Convert 8/3 to Mixed Number

Convert the improper fraction 8/3 to a mixed number with step-by-step explanation.

Answer: 8/3 = 2\frac{2}{3}
Step-by-Step Solution
Step 1 Identify the Improper Fraction

We have the improper fraction: 8/3

This is improper because the numerator (8) ≥ the denominator (3).

We can convert this to a mixed number by dividing.

\frac{8}{3} = ?
Step 2 Divide to Find the Whole Number

Divide the numerator by the denominator:

8 ÷ 3 = 2 remainder 2

The quotient (2) is the whole number part

The remainder (2) is the new numerator

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

Combining our results:

8/3 = 2 2/3
\frac{8}{3} = 2\frac{2}{3}