Add 35/9 and 21/27
1st number: 3 8/9, 2nd number: 21/27
35/9 + 21/27 is 14/3.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 27 is 27
Next, find the equivalent fraction of both fractional numbers with denominator 27 - For the 1st fraction, since 9 × 3 = 27,
35/9 = 35 × 3/9 × 3 = 105/27 - Likewise, for the 2nd fraction, since 27 × 1 = 27,
21/27 = 21 × 1/27 × 1 = 21/27 - Add the two like fractions:
105/27 + 21/27 = 105 + 21/27 = 126/27 - 126/27 simplified gives 14/3
- So, 35/9 + 21/27 = 14/3
In mixed form: 42/3
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/9+21/27 35/9+42/27 35/18+21/27 35/9+21/54 35/9+63/27 35/27+21/27 35/9+21/81 35/45+21/27 35/63+21/27