Add 20/9 and 40/24
1st number: 2 2/9, 2nd number: 1 16/24
20/9 + 40/24 is 35/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 24 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 9 × 8 = 72,
20/9 = 20 × 8/9 × 8 = 160/72 - Likewise, for the 2nd fraction, since 24 × 3 = 72,
40/24 = 40 × 3/24 × 3 = 120/72 - Add the two like fractions:
160/72 + 120/72 = 160 + 120/72 = 280/72 - 280/72 simplified gives 35/9
- So, 20/9 + 40/24 = 35/9
In mixed form: 38/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/9+40/24 20/9+80/24 20/18+40/24 20/9+40/48 60/9+40/24 20/27+40/24 20/9+40/72 20/45+40/24 20/63+40/24