Add 14/9 and 28/16
1st number: 1 5/9, 2nd number: 1 12/16
14/9 + 28/16 is 119/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 16 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 9 × 16 = 144,
14/9 = 14 × 16/9 × 16 = 224/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
28/16 = 28 × 9/16 × 9 = 252/144 - Add the two like fractions:
224/144 + 252/144 = 224 + 252/144 = 476/144 - 476/144 simplified gives 119/36
- So, 14/9 + 28/16 = 119/36
In mixed form: 311/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/9+28/16 14/9+56/16 14/18+28/16 14/9+28/32 42/9+28/16 14/9+84/16 14/27+28/16 14/9+28/48 70/9+28/16 14/45+28/16 14/9+28/80 98/9+28/16 14/63+28/16