Add 20/9 and 21/20
1st number: 2 2/9, 2nd number: 1 1/20
20/9 + 21/20 is 589/180.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 20 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 9 × 20 = 180,
20/9 = 20 × 20/9 × 20 = 400/180 - Likewise, for the 2nd fraction, since 20 × 9 = 180,
21/20 = 21 × 9/20 × 9 = 189/180 - Add the two like fractions:
400/180 + 189/180 = 400 + 189/180 = 589/180 - So, 20/9 + 21/20 = 589/180
In mixed form: 349/180
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/9+21/20 20/9+42/20 20/18+21/20 20/9+21/40 60/9+21/20 20/9+63/20 20/27+21/20 20/9+21/60 20/45+21/20 20/63+21/20