Add 21/14 and 49/15
1st number: 1 7/14, 2nd number: 3 4/15
21/14 + 49/15 is 143/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 15 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 14 × 15 = 210,
21/14 = 21 × 15/14 × 15 = 315/210 - Likewise, for the 2nd fraction, since 15 × 14 = 210,
49/15 = 49 × 14/15 × 14 = 686/210 - Add the two like fractions:
315/210 + 686/210 = 315 + 686/210 = 1001/210 - 1001/210 simplified gives 143/30
- So, 21/14 + 49/15 = 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: 42/14+49/15 21/14+98/15 21/28+49/15 21/14+49/30 63/14+49/15 21/42+49/15 21/14+49/45 21/70+49/15 21/14+49/75 21/98+49/15