Add 7/3 and 21/27
1st number: 2 1/3, 2nd number: 21/27
7/3 + 21/27 is 28/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 27 is 27
Next, find the equivalent fraction of both fractional numbers with denominator 27 - For the 1st fraction, since 3 × 9 = 27,
7/3 = 7 × 9/3 × 9 = 63/27 - Likewise, for the 2nd fraction, since 27 × 1 = 27,
21/27 = 21 × 1/27 × 1 = 21/27 - Add the two like fractions:
63/27 + 21/27 = 63 + 21/27 = 84/27 - 84/27 simplified gives 28/9
- So, 7/3 + 21/27 = 28/9
In mixed form: 31/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/3+21/27 7/3+42/27 7/6+21/27 7/3+21/54 21/3+21/27 7/3+63/27 7/9+21/27 7/3+21/81 35/3+21/27 7/15+21/27 49/3+21/27 7/21+21/27