Add 35/3 and 40/9
1st number: 11 2/3, 2nd number: 4 4/9
35/3 + 40/9 is 145/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 9 is 9
Next, find the equivalent fraction of both fractional numbers with denominator 9 - For the 1st fraction, since 3 × 3 = 9,
35/3 = 35 × 3/3 × 3 = 105/9 - Likewise, for the 2nd fraction, since 9 × 1 = 9,
40/9 = 40 × 1/9 × 1 = 40/9 - Add the two like fractions:
105/9 + 40/9 = 105 + 40/9 = 145/9 - So, 35/3 + 40/9 = 145/9
In mixed form: 161/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/3+40/9 35/3+80/9 35/6+40/9 35/3+40/18 35/9+40/9 35/3+40/27 35/15+40/9 35/3+40/45 35/21+40/9 35/3+40/63