Add 20/9 and 27/14
1st number: 2 2/9, 2nd number: 1 13/14
20/9 + 27/14 is 523/126.
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,
27/14 = 27 × 9/14 × 9 = 243/126 - Add the two like fractions:
280/126 + 243/126 = 280 + 243/126 = 523/126 - So, 20/9 + 27/14 = 523/126
In mixed form: 419/126
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/9+27/14 20/9+54/14 20/18+27/14 20/9+27/28 60/9+27/14 20/9+81/14 20/27+27/14 20/9+27/42 20/45+27/14 20/9+27/70 20/63+27/14 20/9+27/98