Add 28/16 and 35/9
1st number: 1 12/16, 2nd number: 3 8/9
28/16 + 35/9 is 203/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 9 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 16 × 9 = 144,
28/16 = 28 × 9/16 × 9 = 252/144 - Likewise, for the 2nd fraction, since 9 × 16 = 144,
35/9 = 35 × 16/9 × 16 = 560/144 - Add the two like fractions:
252/144 + 560/144 = 252 + 560/144 = 812/144 - 812/144 simplified gives 203/36
- So, 28/16 + 35/9 = 203/36
In mixed form: 523/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 56/16+35/9 28/16+70/9 28/32+35/9 28/16+35/18 84/16+35/9 28/48+35/9 28/16+35/27 28/80+35/9 28/16+35/45 28/16+35/63