Add 21/9 and 16/12
1st number: 2 3/9, 2nd number: 1 4/12
21/9 + 16/12 is 11/3.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 12 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 9 × 4 = 36,
21/9 = 21 × 4/9 × 4 = 84/36 - Likewise, for the 2nd fraction, since 12 × 3 = 36,
16/12 = 16 × 3/12 × 3 = 48/36 - Add the two like fractions:
84/36 + 48/36 = 84 + 48/36 = 132/36 - 132/36 simplified gives 11/3
- So, 21/9 + 16/12 = 11/3
In mixed form: 32/3
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/9+16/12 21/9+32/12 21/18+16/12 21/9+16/24 63/9+16/12 21/9+48/12 21/27+16/12 21/9+16/36 21/9+80/12 21/45+16/12 21/9+16/60 21/63+16/12 21/9+16/84