Add 49/27 and 54/56
1st number: 1 22/27, 2nd number: 54/56
49/27 + 54/56 is 2101/756.
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,
54/56 = 54 × 27/56 × 27 = 1458/1512 - Add the two like fractions:
2744/1512 + 1458/1512 = 2744 + 1458/1512 = 4202/1512 - 4202/1512 simplified gives 2101/756
- So, 49/27 + 54/56 = 2101/756
In mixed form: 2589/756
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/27+54/56 49/54+54/56 49/81+54/56