Add 20/24 and 8/9
20/24 + 8/9 is 31/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 9 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 24 × 3 = 72,
20/24 = 20 × 3/24 × 3 = 60/72 - Likewise, for the 2nd fraction, since 9 × 8 = 72,
8/9 = 8 × 8/9 × 8 = 64/72 - Add the two like fractions:
60/72 + 64/72 = 60 + 64/72 = 124/72 - 124/72 simplified gives 31/18
- So, 20/24 + 8/9 = 31/18
In mixed form: 113/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/24+8/9 20/24+16/9 20/48+8/9 20/24+8/18 60/24+8/9 20/24+24/9 20/72+8/9 20/24+8/27 20/24+40/9 20/24+8/45 20/24+56/9 20/24+8/63