Add 35/9 and 21/49
1st number: 3 8/9, 2nd number: 21/49
35/9 + 21/49 is 272/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 49 is 441
Next, find the equivalent fraction of both fractional numbers with denominator 441 - For the 1st fraction, since 9 × 49 = 441,
35/9 = 35 × 49/9 × 49 = 1715/441 - Likewise, for the 2nd fraction, since 49 × 9 = 441,
21/49 = 21 × 9/49 × 9 = 189/441 - Add the two like fractions:
1715/441 + 189/441 = 1715 + 189/441 = 1904/441 - 1904/441 simplified gives 272/63
- So, 35/9 + 21/49 = 272/63
In mixed form: 420/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/9+21/49 35/9+42/49 35/18+21/49 35/9+21/98 35/9+63/49 35/27+21/49 35/45+21/49 35/63+21/49