Add 20/9 and 30/27
1st number: 2 2/9, 2nd number: 1 3/27
20/9 + 30/27 is 10/3.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 27 is 27
Next, find the equivalent fraction of both fractional numbers with denominator 27 - For the 1st fraction, since 9 × 3 = 27,
20/9 = 20 × 3/9 × 3 = 60/27 - Likewise, for the 2nd fraction, since 27 × 1 = 27,
30/27 = 30 × 1/27 × 1 = 30/27 - Add the two like fractions:
60/27 + 30/27 = 60 + 30/27 = 90/27 - 90/27 simplified gives 10/3
- So, 20/9 + 30/27 = 10/3
In mixed form: 31/3
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/9+30/27 20/9+60/27 20/18+30/27 20/9+30/54 60/9+30/27 20/9+90/27 20/27+30/27 20/9+30/81 20/45+30/27 20/63+30/27