Add 30/75 and 20/30
30/75 + 20/30 is 16/15.
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,
30/75 = 30 × 2/75 × 2 = 60/150 - Likewise, for the 2nd fraction, since 30 × 5 = 150,
20/30 = 20 × 5/30 × 5 = 100/150 - Add the two like fractions:
60/150 + 100/150 = 60 + 100/150 = 160/150 - 160/150 simplified gives 16/15
- So, 30/75 + 20/30 = 16/15
In mixed form: 11/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/75+20/30 30/75+40/30 30/75+20/60 90/75+20/30 30/75+60/30 30/75+20/90