Add 20/9 and 21/14
1st number: 2 2/9, 2nd number: 1 7/14
20/9 + 21/14 is 67/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 14 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
20/9 = 20 × 14/9 × 14 = 280/126 - Likewise, for the 2nd fraction, since 14 × 9 = 126,
21/14 = 21 × 9/14 × 9 = 189/126 - Add the two like fractions:
280/126 + 189/126 = 280 + 189/126 = 469/126 - 469/126 simplified gives 67/18
- So, 20/9 + 21/14 = 67/18
In mixed form: 313/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/9+21/14 20/9+42/14 20/18+21/14 20/9+21/28 60/9+21/14 20/9+63/14 20/27+21/14 20/9+21/42 20/45+21/14 20/9+21/70 20/63+21/14 20/9+21/98