Add 20/36 and 30/45
20/36 + 30/45 is 11/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 36 × 5 = 180,
20/36 = 20 × 5/36 × 5 = 100/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
30/45 = 30 × 4/45 × 4 = 120/180 - Add the two like fractions:
100/180 + 120/180 = 100 + 120/180 = 220/180 - 220/180 simplified gives 11/9
- So, 20/36 + 30/45 = 11/9
In mixed form: 12/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/36+30/45 20/36+60/45 20/72+30/45 20/36+30/90 60/36+30/45 20/36+90/45