Add 49/15 and 21/14
1st number: 3 4/15, 2nd number: 1 7/14
49/15 + 21/14 is 143/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 14 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 15 × 14 = 210,
49/15 = 49 × 14/15 × 14 = 686/210 - Likewise, for the 2nd fraction, since 14 × 15 = 210,
21/14 = 21 × 15/14 × 15 = 315/210 - Add the two like fractions:
686/210 + 315/210 = 686 + 315/210 = 1001/210 - 1001/210 simplified gives 143/30
- So, 49/15 + 21/14 = 143/30
In mixed form: 423/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/15+21/14 49/15+42/14 49/30+21/14 49/15+21/28 49/15+63/14 49/45+21/14 49/15+21/42 49/75+21/14 49/15+21/70 49/15+21/98