Add 2/9 and 16/20
2/9 + 16/20 is 46/45.
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,
2/9 = 2 × 20/9 × 20 = 40/180 - Likewise, for the 2nd fraction, since 20 × 9 = 180,
16/20 = 16 × 9/20 × 9 = 144/180 - Add the two like fractions:
40/180 + 144/180 = 40 + 144/180 = 184/180 - 184/180 simplified gives 46/45
- So, 2/9 + 16/20 = 46/45
In mixed form: 11/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 4/9+16/20 2/9+32/20 2/18+16/20 2/9+16/40 6/9+16/20 2/9+48/20 2/27+16/20 2/9+16/60 10/9+16/20 2/9+80/20 2/45+16/20 14/9+16/20 2/63+16/20