Add 20/30 and 18/45
20/30 + 18/45 is 16/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 45 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 30 × 3 = 90,
20/30 = 20 × 3/30 × 3 = 60/90 - Likewise, for the 2nd fraction, since 45 × 2 = 90,
18/45 = 18 × 2/45 × 2 = 36/90 - Add the two like fractions:
60/90 + 36/90 = 60 + 36/90 = 96/90 - 96/90 simplified gives 16/15
- So, 20/30 + 18/45 = 16/15
In mixed form: 11/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/30+18/45 20/30+36/45 20/60+18/45 20/30+18/90 60/30+18/45 20/30+54/45 20/90+18/45 20/30+90/45