Add 1/27 and 40/36
1st number: 1/27, 2nd number: 1 4/36
1/27 + 40/36 is 31/27.
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,
1/27 = 1 × 4/27 × 4 = 4/108 - Likewise, for the 2nd fraction, since 36 × 3 = 108,
40/36 = 40 × 3/36 × 3 = 120/108 - Add the two like fractions:
4/108 + 120/108 = 4 + 120/108 = 124/108 - 124/108 simplified gives 31/27
- So, 1/27 + 40/36 = 31/27
In mixed form: 14/27
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 2/27+40/36 1/27+80/36 1/54+40/36 1/27+40/72 3/27+40/36 1/81+40/36 5/27+40/36 7/27+40/36