Add 21/14 and 54/27
1st number: 1 7/14, 2nd number: 2 0/27
21/14 + 54/27 is 7/2.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 14 × 27 = 378,
21/14 = 21 × 27/14 × 27 = 567/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
54/27 = 54 × 14/27 × 14 = 756/378 - Add the two like fractions:
567/378 + 756/378 = 567 + 756/378 = 1323/378 - 1323/378 simplified gives 7/2
- So, 21/14 + 54/27 = 7/2
In mixed form: 31/2
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/14+54/27 21/28+54/27 63/14+54/27 21/42+54/27 21/14+54/81 21/70+54/27 21/98+54/27