Add 14/10 and 49/21
1st number: 1 4/10, 2nd number: 2 7/21
14/10 + 49/21 is 56/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 21 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 10 × 21 = 210,
14/10 = 14 × 21/10 × 21 = 294/210 - Likewise, for the 2nd fraction, since 21 × 10 = 210,
49/21 = 49 × 10/21 × 10 = 490/210 - Add the two like fractions:
294/210 + 490/210 = 294 + 490/210 = 784/210 - 784/210 simplified gives 56/15
- So, 14/10 + 49/21 = 56/15
In mixed form: 311/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/10+49/21 14/10+98/21 14/20+49/21 14/10+49/42 42/10+49/21 14/30+49/21 14/10+49/63 70/10+49/21 14/50+49/21 98/10+49/21 14/70+49/21