Add 10/9 and 40/20
1st number: 1 1/9, 2nd number: 2 0/20
10/9 + 40/20 is 28/9.
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,
10/9 = 10 × 20/9 × 20 = 200/180 - Likewise, for the 2nd fraction, since 20 × 9 = 180,
40/20 = 40 × 9/20 × 9 = 360/180 - Add the two like fractions:
200/180 + 360/180 = 200 + 360/180 = 560/180 - 560/180 simplified gives 28/9
- So, 10/9 + 40/20 = 28/9
In mixed form: 31/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/9+40/20 10/9+80/20 10/18+40/20 30/9+40/20 10/27+40/20 10/9+40/60 50/9+40/20 10/45+40/20 70/9+40/20 10/63+40/20