Add 4/9 and 8/12
4/9 + 8/12 is 10/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 12 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 9 × 4 = 36,
4/9 = 4 × 4/9 × 4 = 16/36 - Likewise, for the 2nd fraction, since 12 × 3 = 36,
8/12 = 8 × 3/12 × 3 = 24/36 - Add the two like fractions:
16/36 + 24/36 = 16 + 24/36 = 40/36 - 40/36 simplified gives 10/9
- So, 4/9 + 8/12 = 10/9
In mixed form: 11/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/9+8/12 4/9+16/12 4/18+8/12 4/9+8/24 12/9+8/12 4/9+24/12 4/27+8/12 4/9+8/36 20/9+8/12 4/9+40/12 4/45+8/12 4/9+8/60 28/9+8/12 4/9+56/12 4/63+8/12 4/9+8/84