Add 35/12 and 42/9
1st number: 2 11/12, 2nd number: 4 6/9
35/12 + 42/9 is 91/12.
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,
35/12 = 35 × 3/12 × 3 = 105/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
42/9 = 42 × 4/9 × 4 = 168/36 - Add the two like fractions:
105/36 + 168/36 = 105 + 168/36 = 273/36 - 273/36 simplified gives 91/12
- So, 35/12 + 42/9 = 91/12
In mixed form: 77/12
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/12+42/9 35/12+84/9 35/24+42/9 35/12+42/18 35/36+42/9 35/12+42/27 35/60+42/9 35/12+42/45 35/84+42/9 35/12+42/63