Add 45/12 and 49/27
1st number: 3 9/12, 2nd number: 1 22/27
45/12 + 49/27 is 601/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 27 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 12 × 9 = 108,
45/12 = 45 × 9/12 × 9 = 405/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
49/27 = 49 × 4/27 × 4 = 196/108 - Add the two like fractions:
405/108 + 196/108 = 405 + 196/108 = 601/108 - So, 45/12 + 49/27 = 601/108
In mixed form: 561/108
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/12+49/27 45/12+98/27 45/24+49/27 45/12+49/54 45/36+49/27 45/12+49/81 45/60+49/27 45/84+49/27