Add 14/9 and 20/16
1st number: 1 5/9, 2nd number: 1 4/16
14/9 + 20/16 is 101/36.
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,
20/16 = 20 × 9/16 × 9 = 180/144 - Add the two like fractions:
224/144 + 180/144 = 224 + 180/144 = 404/144 - 404/144 simplified gives 101/36
- So, 14/9 + 20/16 = 101/36
In mixed form: 229/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/9+20/16 14/9+40/16 14/18+20/16 14/9+20/32 42/9+20/16 14/9+60/16 14/27+20/16 14/9+20/48 70/9+20/16 14/45+20/16 14/9+20/80 98/9+20/16 14/63+20/16