Add 21/27 and 9/4
1st number: 21/27, 2nd number: 2 1/4
21/27 + 9/4 is 109/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 4 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 27 × 4 = 108,
21/27 = 21 × 4/27 × 4 = 84/108 - Likewise, for the 2nd fraction, since 4 × 27 = 108,
9/4 = 9 × 27/4 × 27 = 243/108 - Add the two like fractions:
84/108 + 243/108 = 84 + 243/108 = 327/108 - 327/108 simplified gives 109/36
- So, 21/27 + 9/4 = 109/36
In mixed form: 31/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/27+9/4 21/27+18/4 21/54+9/4 21/27+9/8 63/27+9/4 21/27+27/4 21/81+9/4 21/27+9/12 21/27+45/4 21/27+9/20 21/27+63/4 21/27+9/28