Add 28/9 and 35/12
1st number: 3 1/9, 2nd number: 2 11/12
28/9 + 35/12 is 217/36.
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,
28/9 = 28 × 4/9 × 4 = 112/36 - Likewise, for the 2nd fraction, since 12 × 3 = 36,
35/12 = 35 × 3/12 × 3 = 105/36 - Add the two like fractions:
112/36 + 105/36 = 112 + 105/36 = 217/36 - So, 28/9 + 35/12 = 217/36
In mixed form: 61/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 56/9+35/12 28/9+70/12 28/18+35/12 28/9+35/24 84/9+35/12 28/27+35/12 28/9+35/36 28/45+35/12 28/9+35/60 28/63+35/12 28/9+35/84