Add 40/12 and 20/45
1st number: 3 4/12, 2nd number: 20/45
40/12 + 20/45 is 34/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 12 × 15 = 180,
40/12 = 40 × 15/12 × 15 = 600/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
20/45 = 20 × 4/45 × 4 = 80/180 - Add the two like fractions:
600/180 + 80/180 = 600 + 80/180 = 680/180 - 680/180 simplified gives 34/9
- So, 40/12 + 20/45 = 34/9
In mixed form: 37/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/12+20/45 40/12+40/45 40/24+20/45 40/12+20/90 40/12+60/45 40/36+20/45 40/60+20/45 40/84+20/45