Add 84/27 and 21/12
1st number: 3 3/27, 2nd number: 1 9/12
84/27 + 21/12 is 175/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 12 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 27 × 4 = 108,
84/27 = 84 × 4/27 × 4 = 336/108 - Likewise, for the 2nd fraction, since 12 × 9 = 108,
21/12 = 21 × 9/12 × 9 = 189/108 - Add the two like fractions:
336/108 + 189/108 = 336 + 189/108 = 525/108 - 525/108 simplified gives 175/36
- So, 84/27 + 21/12 = 175/36
In mixed form: 431/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/27+42/12 84/54+21/12 84/27+21/24 84/27+63/12 84/81+21/12 84/27+21/36 84/27+21/60 84/27+21/84