Add 36/27 and 28/9
1st number: 1 9/27, 2nd number: 3 1/9
36/27 + 28/9 is 40/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 9 is 27
Next, find the equivalent fraction of both fractional numbers with denominator 27 - For the 1st fraction, since 27 × 1 = 27,
36/27 = 36 × 1/27 × 1 = 36/27 - Likewise, for the 2nd fraction, since 9 × 3 = 27,
28/9 = 28 × 3/9 × 3 = 84/27 - Add the two like fractions:
36/27 + 84/27 = 36 + 84/27 = 120/27 - 120/27 simplified gives 40/9
- So, 36/27 + 28/9 = 40/9
In mixed form: 44/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/27+28/9 36/27+56/9 36/54+28/9 36/27+28/18 36/27+84/9 36/81+28/9 36/27+28/27 36/27+28/45 36/27+28/63