Step by step
- Write each number as a fraction3 1/2 = (3 × 2 + 1)/2 = 7/21 1/3 = (1 × 3 + 1)/3 = 4/3
- Find a common denominatorThe lowest common denominator of 2 and 3 is 6.7/2 = (7 × 3)/(2 × 3) = 21/64/3 = (4 × 2)/(3 × 2) = 8/6
- Subtract the numerators (tops)21/6 − 8/6 = 13/6
- Write it as a mixed number13 ÷ 6 = 2 remainder 1, so 13/6 = 2 1/6
Check: 13/6 + 4/3 = 7/2 ✓