Add 27/3 and 21/14
1st number: 9 0/3, 2nd number: 1 7/14
27/3 + 21/14 is 21/2.
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,
27/3 = 27 × 14/3 × 14 = 378/42 - Likewise, for the 2nd fraction, since 14 × 3 = 42,
21/14 = 21 × 3/14 × 3 = 63/42 - Add the two like fractions:
378/42 + 63/42 = 378 + 63/42 = 441/42 - 441/42 simplified gives 21/2
- So, 27/3 + 21/14 = 21/2
In mixed form: 101/2
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/3+21/14 27/3+42/14 27/6+21/14 27/3+21/28 81/3+21/14 27/3+63/14 27/9+21/14 27/3+21/42 27/15+21/14 27/3+21/70 27/21+21/14 27/3+21/98