Add 30/75 and 8/14
30/75 + 8/14 is 34/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 14 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
30/75 = 30 × 14/75 × 14 = 420/1050 - Likewise, for the 2nd fraction, since 14 × 75 = 1050,
8/14 = 8 × 75/14 × 75 = 600/1050 - Add the two like fractions:
420/1050 + 600/1050 = 420 + 600/1050 = 1020/1050 - 1020/1050 simplified gives 34/35
- So, 30/75 + 8/14 = 34/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/75+8/14 30/75+16/14 30/75+8/28 90/75+8/14 30/75+24/14 30/75+8/42 30/75+40/14 30/75+8/70 30/75+56/14 30/75+8/98