Add 35/75 and 2/9
35/75 + 2/9 is 31/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 9 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 75 × 3 = 225,
35/75 = 35 × 3/75 × 3 = 105/225 - Likewise, for the 2nd fraction, since 9 × 25 = 225,
2/9 = 2 × 25/9 × 25 = 50/225 - Add the two like fractions:
105/225 + 50/225 = 105 + 50/225 = 155/225 - 155/225 simplified gives 31/45
- So, 35/75 + 2/9 = 31/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/75+2/9 35/75+4/9 35/75+2/18 35/75+6/9 35/75+2/27 35/75+10/9 35/75+2/45 35/75+14/9 35/75+2/63