Add 5/9 and 21/16
1st number: 5/9, 2nd number: 1 5/16
5/9 + 21/16 is 269/144.
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,
5/9 = 5 × 16/9 × 16 = 80/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
21/16 = 21 × 9/16 × 9 = 189/144 - Add the two like fractions:
80/144 + 189/144 = 80 + 189/144 = 269/144 - So, 5/9 + 21/16 = 269/144
In mixed form: 1125/144
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 10/9+21/16 5/9+42/16 5/18+21/16 5/9+21/32 15/9+21/16 5/9+63/16 5/27+21/16 5/9+21/48 25/9+21/16 5/45+21/16 5/9+21/80 35/9+21/16 5/63+21/16