Add 9/12 and 21/9
1st number: 9/12, 2nd number: 2 3/9
9/12 + 21/9 is 37/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 9 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 12 × 3 = 36,
9/12 = 9 × 3/12 × 3 = 27/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
21/9 = 21 × 4/9 × 4 = 84/36 - Add the two like fractions:
27/36 + 84/36 = 27 + 84/36 = 111/36 - 111/36 simplified gives 37/12
- So, 9/12 + 21/9 = 37/12
In mixed form: 31/12
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/12+21/9 9/12+42/9 9/24+21/9 9/12+21/18 27/12+21/9 9/12+63/9 9/36+21/9 9/12+21/27 45/12+21/9 9/60+21/9 9/12+21/45 63/12+21/9 9/84+21/9 9/12+21/63