Add 35/75 and 21/30
35/75 + 21/30 is 7/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 30 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 75 × 2 = 150,
35/75 = 35 × 2/75 × 2 = 70/150 - Likewise, for the 2nd fraction, since 30 × 5 = 150,
21/30 = 21 × 5/30 × 5 = 105/150 - Add the two like fractions:
70/150 + 105/150 = 70 + 105/150 = 175/150 - 175/150 simplified gives 7/6
- So, 35/75 + 21/30 = 7/6
In mixed form: 11/6
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/75+21/30 35/75+42/30 35/75+21/60 35/75+63/30 35/75+21/90