Add 1/3 and 21/14
1st number: 1/3, 2nd number: 1 7/14
1/3 + 21/14 is 11/6.
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,
1/3 = 1 × 14/3 × 14 = 14/42 - Likewise, for the 2nd fraction, since 14 × 3 = 42,
21/14 = 21 × 3/14 × 3 = 63/42 - Add the two like fractions:
14/42 + 63/42 = 14 + 63/42 = 77/42 - 77/42 simplified gives 11/6
- So, 1/3 + 21/14 = 11/6
In mixed form: 15/6
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 2/3+21/14 1/3+42/14 1/6+21/14 1/3+21/28 1/3+63/14 1/9+21/14 1/3+21/42 5/3+21/14 1/15+21/14 1/3+21/70 7/3+21/14 1/21+21/14 1/3+21/98