Add 2/9 and 35/14
1st number: 2/9, 2nd number: 2 7/14
2/9 + 35/14 is 49/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 14 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
2/9 = 2 × 14/9 × 14 = 28/126 - Likewise, for the 2nd fraction, since 14 × 9 = 126,
35/14 = 35 × 9/14 × 9 = 315/126 - Add the two like fractions:
28/126 + 315/126 = 28 + 315/126 = 343/126 - 343/126 simplified gives 49/18
- So, 2/9 + 35/14 = 49/18
In mixed form: 213/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 4/9+35/14 2/9+70/14 2/18+35/14 2/9+35/28 6/9+35/14 2/27+35/14 2/9+35/42 10/9+35/14 2/45+35/14 2/9+35/70 14/9+35/14 2/63+35/14 2/9+35/98