Add 35/12 and 30/9
1st number: 2 11/12, 2nd number: 3 3/9
35/12 + 30/9 is 25/4.
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,
35/12 = 35 × 3/12 × 3 = 105/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
30/9 = 30 × 4/9 × 4 = 120/36 - Add the two like fractions:
105/36 + 120/36 = 105 + 120/36 = 225/36 - 225/36 simplified gives 25/4
- So, 35/12 + 30/9 = 25/4
In mixed form: 61/4
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/12+30/9 35/12+60/9 35/24+30/9 35/12+30/18 35/12+90/9 35/36+30/9 35/12+30/27 35/60+30/9 35/12+30/45 35/84+30/9 35/12+30/63