Add 2/3 and 30/14
1st number: 2/3, 2nd number: 2 2/14
2/3 + 30/14 is 59/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 14 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 3 × 14 = 42,
2/3 = 2 × 14/3 × 14 = 28/42 - Likewise, for the 2nd fraction, since 14 × 3 = 42,
30/14 = 30 × 3/14 × 3 = 90/42 - Add the two like fractions:
28/42 + 90/42 = 28 + 90/42 = 118/42 - 118/42 simplified gives 59/21
- So, 2/3 + 30/14 = 59/21
In mixed form: 217/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 4/3+30/14 2/3+60/14 2/6+30/14 2/3+30/28 6/3+30/14 2/3+90/14 2/9+30/14 2/3+30/42 10/3+30/14 2/15+30/14 2/3+30/70 14/3+30/14 2/21+30/14 2/3+30/98