Add 8/9 and 21/84
8/9 + 21/84 is 41/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 84 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 9 × 28 = 252,
8/9 = 8 × 28/9 × 28 = 224/252 - Likewise, for the 2nd fraction, since 84 × 3 = 252,
21/84 = 21 × 3/84 × 3 = 63/252 - Add the two like fractions:
224/252 + 63/252 = 224 + 63/252 = 287/252 - 287/252 simplified gives 41/36
- So, 8/9 + 21/84 = 41/36
In mixed form: 15/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/9+21/84 8/9+42/84 8/18+21/84 24/9+21/84 8/9+63/84 8/27+21/84 40/9+21/84 8/45+21/84 56/9+21/84 8/63+21/84