Add 40/12 and 30/27
1st number: 3 4/12, 2nd number: 1 3/27
40/12 + 30/27 is 40/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 27 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 12 × 9 = 108,
40/12 = 40 × 9/12 × 9 = 360/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
30/27 = 30 × 4/27 × 4 = 120/108 - Add the two like fractions:
360/108 + 120/108 = 360 + 120/108 = 480/108 - 480/108 simplified gives 40/9
- So, 40/12 + 30/27 = 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: 80/12+30/27 40/12+60/27 40/24+30/27 40/12+30/54 40/12+90/27 40/36+30/27 40/12+30/81 40/60+30/27 40/84+30/27