Add 30/10 and 49/21
1st number: 3 0/10, 2nd number: 2 7/21
30/10 + 49/21 is 16/3.
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,
30/10 = 30 × 21/10 × 21 = 630/210 - Likewise, for the 2nd fraction, since 21 × 10 = 210,
49/21 = 49 × 10/21 × 10 = 490/210 - Add the two like fractions:
630/210 + 490/210 = 630 + 490/210 = 1120/210 - 1120/210 simplified gives 16/3
- So, 30/10 + 49/21 = 16/3
In mixed form: 51/3
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/10+49/21 30/10+98/21 30/20+49/21 30/10+49/42 90/10+49/21 30/10+49/63 30/50+49/21 30/70+49/21