Convert 7/3 to Mixed Number

Convert the improper fraction 7/3 to a mixed number with step-by-step explanation.

Answer: 7/3 = 2\frac{1}{3}

Step-by-Step Solution

Step 1 Identify the Improper Fraction

We have the improper fraction: 7/3

This is improper because the numerator (7) ≥ the denominator (3).

We can convert this to a mixed number by dividing.

\frac{7}{3} = ?

Step 2 Divide to Find the Whole Number

Divide the numerator by the denominator:

7 ÷ 3 = 2 remainder 1

The quotient (2) is the whole number part

The remainder (1) is the new numerator

7 \div 3 = 2 \text{ R } 1

Step 3 Write the Result

Combining our results:

7/3 = 2 1/3

\frac{7}{3} = 2\frac{1}{3}