Add 42/12 and 45/27
1st number: 3 6/12, 2nd number: 1 18/27
42/12 + 45/27 is 31/6.
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,
42/12 = 42 × 9/12 × 9 = 378/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
45/27 = 45 × 4/27 × 4 = 180/108 - Add the two like fractions:
378/108 + 180/108 = 378 + 180/108 = 558/108 - 558/108 simplified gives 31/6
- So, 42/12 + 45/27 = 31/6
In mixed form: 51/6
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/12+45/27 42/12+90/27 42/24+45/27 42/12+45/54 42/36+45/27 42/12+45/81 42/60+45/27 42/84+45/27