Add 16/27 and 28/36
16/27 + 28/36 is 37/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 36 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 27 × 4 = 108,
16/27 = 16 × 4/27 × 4 = 64/108 - Likewise, for the 2nd fraction, since 36 × 3 = 108,
28/36 = 28 × 3/36 × 3 = 84/108 - Add the two like fractions:
64/108 + 84/108 = 64 + 84/108 = 148/108 - 148/108 simplified gives 37/27
- So, 16/27 + 28/36 = 37/27
In mixed form: 110/27
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 32/27+28/36 16/27+56/36 16/54+28/36 16/27+28/72 48/27+28/36 16/27+84/36 16/81+28/36 80/27+28/36