Add 35/9 and 28/21
1st number: 3 8/9, 2nd number: 1 7/21
35/9 + 28/21 is 47/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 21 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 9 × 7 = 63,
35/9 = 35 × 7/9 × 7 = 245/63 - Likewise, for the 2nd fraction, since 21 × 3 = 63,
28/21 = 28 × 3/21 × 3 = 84/63 - Add the two like fractions:
245/63 + 84/63 = 245 + 84/63 = 329/63 - 329/63 simplified gives 47/9
- So, 35/9 + 28/21 = 47/9
In mixed form: 52/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/9+28/21 35/9+56/21 35/18+28/21 35/9+28/42 35/9+84/21 35/27+28/21 35/9+28/63 35/45+28/21 35/63+28/21