Add 4/9 and 10/12
4/9 + 10/12 is 23/18.
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,
10/12 = 10 × 3/12 × 3 = 30/36 - Add the two like fractions:
16/36 + 30/36 = 16 + 30/36 = 46/36 - 46/36 simplified gives 23/18
- So, 4/9 + 10/12 = 23/18
In mixed form: 15/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/9+10/12 4/9+20/12 4/18+10/12 4/9+10/24 12/9+10/12 4/9+30/12 4/27+10/12 4/9+10/36 20/9+10/12 4/9+50/12 4/45+10/12 4/9+10/60 28/9+10/12 4/9+70/12 4/63+10/12 4/9+10/84