Add 28/9 and 21/49, Solve 3 1/9 + 21/49 as a fraction

Add 28/9 and 21/49

1^st number: 3 1/9, 2^nd number: 21/49

28/9 + 21/49 is 223/63.

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,
28/9 = 28 × 49/9 × 49 = 1372/441
Likewise, for the 2nd fraction, since 49 × 9 = 441,
21/49 = 21 × 9/49 × 9 = 189/441
Add the two like fractions:
1372/441 + 189/441 = 1372 + 189/441 = 1561/441
1561/441 simplified gives 223/63
So, 28/9 + 21/49 = 223/63
In mixed form: 334/63

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad