Add 49/54 and 14/56
49/54 + 14/56 is 125/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 56 is 1512
Next, find the equivalent fraction of both fractional numbers with denominator 1512 - For the 1st fraction, since 54 × 28 = 1512,
49/54 = 49 × 28/54 × 28 = 1372/1512 - Likewise, for the 2nd fraction, since 56 × 27 = 1512,
14/56 = 14 × 27/56 × 27 = 378/1512 - Add the two like fractions:
1372/1512 + 378/1512 = 1372 + 378/1512 = 1750/1512 - 1750/1512 simplified gives 125/108
- So, 49/54 + 14/56 = 125/108
In mixed form: 117/108
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/54+14/56 49/54+28/56 49/54+42/56 49/54+70/56 49/54+98/56