Add 1/2 and 2/3
1/2 + 2/3 is 7/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 3 is 6
Next, find the equivalent fraction of both fractional numbers with denominator 6 - For the 1st fraction, since 2 × 3 = 6,
1/2 = 1 × 3/2 × 3 = 3/6 - Likewise, for the 2nd fraction, since 3 × 2 = 6,
2/3 = 2 × 2/3 × 2 = 4/6 - Add the two like fractions:
3/6 + 4/6 = 3 + 4/6 = 7/6 - So, 1/2 + 2/3 = 7/6
In mixed form: 11/6
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 1/2+4/3 1/4+2/3 1/2+2/6 3/2+2/3 1/2+6/3 1/6+2/3 1/2+2/9 5/2+2/3 1/2+10/3 1/10+2/3 1/2+2/15 7/2+2/3 1/2+14/3 1/14+2/3 1/2+2/21