Add 49/27 and 42/56
1st number: 1 22/27, 2nd number: 42/56
49/27 + 42/56 is 277/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 56 is 1512
Next, find the equivalent fraction of both fractional numbers with denominator 1512 - For the 1st fraction, since 27 × 56 = 1512,
49/27 = 49 × 56/27 × 56 = 2744/1512 - Likewise, for the 2nd fraction, since 56 × 27 = 1512,
42/56 = 42 × 27/56 × 27 = 1134/1512 - Add the two like fractions:
2744/1512 + 1134/1512 = 2744 + 1134/1512 = 3878/1512 - 3878/1512 simplified gives 277/108
- So, 49/27 + 42/56 = 277/108
In mixed form: 261/108
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/27+42/56 49/27+84/56 49/54+42/56 49/81+42/56