Add 28/49 and 4/9
28/49 + 4/9 is 64/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 9 is 441
Next, find the equivalent fraction of both fractional numbers with denominator 441 - For the 1st fraction, since 49 × 9 = 441,
28/49 = 28 × 9/49 × 9 = 252/441 - Likewise, for the 2nd fraction, since 9 × 49 = 441,
4/9 = 4 × 49/9 × 49 = 196/441 - Add the two like fractions:
252/441 + 196/441 = 252 + 196/441 = 448/441 - 448/441 simplified gives 64/63
- So, 28/49 + 4/9 = 64/63
In mixed form: 11/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 56/49+4/9 28/49+8/9 28/98+4/9 28/49+4/18 84/49+4/9 28/49+12/9 28/49+4/27 28/49+20/9 28/49+4/45 28/49+28/9 28/49+4/63