Add 49/27 and 28/16
1st number: 1 22/27, 2nd number: 1 12/16
49/27 + 28/16 is 385/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 16 is 432
Next, find the equivalent fraction of both fractional numbers with denominator 432 - For the 1st fraction, since 27 × 16 = 432,
49/27 = 49 × 16/27 × 16 = 784/432 - Likewise, for the 2nd fraction, since 16 × 27 = 432,
28/16 = 28 × 27/16 × 27 = 756/432 - Add the two like fractions:
784/432 + 756/432 = 784 + 756/432 = 1540/432 - 1540/432 simplified gives 385/108
- So, 49/27 + 28/16 = 385/108
In mixed form: 361/108
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/27+28/16 49/27+56/16 49/54+28/16 49/27+28/32 49/27+84/16 49/81+28/16 49/27+28/48 49/27+28/80