Add 49/27 and 14/4
1st number: 1 22/27, 2nd number: 3 2/4
49/27 + 14/4 is 287/54.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 4 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 27 × 4 = 108,
49/27 = 49 × 4/27 × 4 = 196/108 - Likewise, for the 2nd fraction, since 4 × 27 = 108,
14/4 = 14 × 27/4 × 27 = 378/108 - Add the two like fractions:
196/108 + 378/108 = 196 + 378/108 = 574/108 - 574/108 simplified gives 287/54
- So, 49/27 + 14/4 = 287/54
In mixed form: 517/54
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/27+14/4 49/27+28/4 49/54+14/4 49/27+14/8 49/27+42/4 49/81+14/4 49/27+14/12 49/27+70/4 49/27+14/20 49/27+98/4 49/27+14/28