Add 28/9 and 28/16
1st number: 3 1/9, 2nd number: 1 12/16
28/9 + 28/16 is 175/36.
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,
28/9 = 28 × 16/9 × 16 = 448/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
28/16 = 28 × 9/16 × 9 = 252/144 - Add the two like fractions:
448/144 + 252/144 = 448 + 252/144 = 700/144 - 700/144 simplified gives 175/36
- So, 28/9 + 28/16 = 175/36
In mixed form: 431/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 56/9+28/16 28/9+56/16 28/18+28/16 28/9+28/32 84/9+28/16 28/9+84/16 28/27+28/16 28/9+28/48 28/45+28/16 28/9+28/80 28/63+28/16