Add 40/45 and 15/12
1st number: 40/45, 2nd number: 1 3/12
40/45 + 15/12 is 77/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 12 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 45 × 4 = 180,
40/45 = 40 × 4/45 × 4 = 160/180 - Likewise, for the 2nd fraction, since 12 × 15 = 180,
15/12 = 15 × 15/12 × 15 = 225/180 - Add the two like fractions:
160/180 + 225/180 = 160 + 225/180 = 385/180 - 385/180 simplified gives 77/36
- So, 40/45 + 15/12 = 77/36
In mixed form: 25/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/45+15/12 40/45+30/12 40/90+15/12 40/45+15/24 40/45+45/12 40/45+15/36 40/45+75/12 40/45+15/60 40/45+15/84