Add 2/9 and 28/35
2/9 + 28/35 is 46/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 35 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 9 × 35 = 315,
2/9 = 2 × 35/9 × 35 = 70/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
28/35 = 28 × 9/35 × 9 = 252/315 - Add the two like fractions:
70/315 + 252/315 = 70 + 252/315 = 322/315 - 322/315 simplified gives 46/45
- So, 2/9 + 28/35 = 46/45
In mixed form: 11/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 4/9+28/35 2/9+56/35 2/18+28/35 2/9+28/70 6/9+28/35 2/9+84/35 2/27+28/35 10/9+28/35 2/45+28/35 14/9+28/35 2/63+28/35