Add 14/49 and 28/30
14/49 + 28/30 is 128/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 30 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 49 × 30 = 1470,
14/49 = 14 × 30/49 × 30 = 420/1470 - Likewise, for the 2nd fraction, since 30 × 49 = 1470,
28/30 = 28 × 49/30 × 49 = 1372/1470 - Add the two like fractions:
420/1470 + 1372/1470 = 420 + 1372/1470 = 1792/1470 - 1792/1470 simplified gives 128/105
- So, 14/49 + 28/30 = 128/105
In mixed form: 123/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/49+28/30 14/49+56/30 14/98+28/30 14/49+28/60 42/49+28/30 14/49+84/30 14/49+28/90 70/49+28/30 98/49+28/30