Add 36/12 and 28/9
1st number: 3 0/12, 2nd number: 3 1/9
36/12 + 28/9 is 55/9.
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,
36/12 = 36 × 3/12 × 3 = 108/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
28/9 = 28 × 4/9 × 4 = 112/36 - Add the two like fractions:
108/36 + 112/36 = 108 + 112/36 = 220/36 - 220/36 simplified gives 55/9
- So, 36/12 + 28/9 = 55/9
In mixed form: 61/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/12+28/9 36/12+56/9 36/24+28/9 36/12+28/18 36/12+84/9 36/12+28/27 36/60+28/9 36/12+28/45 36/84+28/9 36/12+28/63