Add 16/20 and 2/9
16/20 + 2/9 is 46/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 9 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 20 × 9 = 180,
16/20 = 16 × 9/20 × 9 = 144/180 - Likewise, for the 2nd fraction, since 9 × 20 = 180,
2/9 = 2 × 20/9 × 20 = 40/180 - Add the two like fractions:
144/180 + 40/180 = 144 + 40/180 = 184/180 - 184/180 simplified gives 46/45
- So, 16/20 + 2/9 = 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: 32/20+2/9 16/20+4/9 16/40+2/9 16/20+2/18 48/20+2/9 16/20+6/9 16/60+2/9 16/20+2/27 80/20+2/9 16/20+10/9 16/20+2/45 16/20+14/9 16/20+2/63