Add 4/9 and 21/49
4/9 + 21/49 is 55/63.
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,
4/9 = 4 × 49/9 × 49 = 196/441 - Likewise, for the 2nd fraction, since 49 × 9 = 441,
21/49 = 21 × 9/49 × 9 = 189/441 - Add the two like fractions:
196/441 + 189/441 = 196 + 189/441 = 385/441 - 385/441 simplified gives 55/63
- So, 4/9 + 21/49 = 55/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/9+21/49 4/9+42/49 4/18+21/49 4/9+21/98 12/9+21/49 4/9+63/49 4/27+21/49 20/9+21/49 4/45+21/49 28/9+21/49 4/63+21/49