Add 8/9 and 21/16
1st number: 8/9, 2nd number: 1 5/16
8/9 + 21/16 is 317/144.
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,
8/9 = 8 × 16/9 × 16 = 128/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
21/16 = 21 × 9/16 × 9 = 189/144 - Add the two like fractions:
128/144 + 189/144 = 128 + 189/144 = 317/144 - So, 8/9 + 21/16 = 317/144
In mixed form: 229/144
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/9+21/16 8/9+42/16 8/18+21/16 8/9+21/32 24/9+21/16 8/9+63/16 8/27+21/16 8/9+21/48 40/9+21/16 8/45+21/16 8/9+21/80 56/9+21/16 8/63+21/16