Add 30/75 and 30/35
30/75 + 30/35 is 44/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 35 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
30/75 = 30 × 7/75 × 7 = 210/525 - Likewise, for the 2nd fraction, since 35 × 15 = 525,
30/35 = 30 × 15/35 × 15 = 450/525 - Add the two like fractions:
210/525 + 450/525 = 210 + 450/525 = 660/525 - 660/525 simplified gives 44/35
- So, 30/75 + 30/35 = 44/35
In mixed form: 19/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/75+30/35 30/75+60/35 30/75+30/70 90/75+30/35 30/75+90/35