Add 40/9 and 3/20
1st number: 4 4/9, 2nd number: 3/20
40/9 + 3/20 is 827/180.
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,
40/9 = 40 × 20/9 × 20 = 800/180 - Likewise, for the 2nd fraction, since 20 × 9 = 180,
3/20 = 3 × 9/20 × 9 = 27/180 - Add the two like fractions:
800/180 + 27/180 = 800 + 27/180 = 827/180 - So, 40/9 + 3/20 = 827/180
In mixed form: 4107/180
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/9+3/20 40/9+6/20 40/18+3/20 40/9+3/40 40/9+9/20 40/27+3/20 40/9+3/60 40/9+15/20 40/45+3/20 40/9+21/20 40/63+3/20