Add 20/9 and 14/21
1st number: 2 2/9, 2nd number: 14/21
20/9 + 14/21 is 26/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 21 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 9 × 7 = 63,
20/9 = 20 × 7/9 × 7 = 140/63 - Likewise, for the 2nd fraction, since 21 × 3 = 63,
14/21 = 14 × 3/21 × 3 = 42/63 - Add the two like fractions:
140/63 + 42/63 = 140 + 42/63 = 182/63 - 182/63 simplified gives 26/9
- So, 20/9 + 14/21 = 26/9
In mixed form: 28/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/9+14/21 20/9+28/21 20/18+14/21 20/9+14/42 60/9+14/21 20/9+42/21 20/27+14/21 20/9+14/63 20/9+70/21 20/45+14/21 20/9+98/21 20/63+14/21